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1,046,520

1,046,520 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,046,520 (one million forty-six thousand five hundred twenty) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2³ × 3⁴ × 5 × 17 × 19. Its proper divisors sum to 2,873,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF7F8.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
256,401
Square (n²)
1,095,204,110,400
Cube (n³)
1,146,153,005,615,808,000
Divisor count
160
σ(n) — sum of divisors
3,920,400
φ(n) — Euler's totient
248,832
Sum of prime factors
59

Primality

Prime factorization: 2 3 × 3 4 × 5 × 17 × 19

Nearest primes: 1,046,519 (−1) · 1,046,527 (+7)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 17 · 18 · 19 · 20 · 24 · 27 · 30 · 34 · 36 · 38 · 40 · 45 · 51 · 54 · 57 · 60 · 68 · 72 · 76 · 81 · 85 · 90 · 95 · 102 · 108 · 114 · 120 · 135 · 136 · 152 · 153 · 162 · 170 · 171 · 180 · 190 · 204 · 216 · 228 · 255 · 270 · 285 · 306 · 323 · 324 · 340 · 342 · 360 · 380 · 405 · 408 · 456 · 459 · 510 · 513 · 540 · 570 · 612 · 646 · 648 · 680 · 684 · 760 · 765 · 810 · 855 · 918 · 969 · 1020 · 1026 · 1080 · 1140 · 1224 · 1292 · 1368 · 1377 · 1530 · 1539 · 1615 · 1620 · 1710 · 1836 · 1938 · 2040 · 2052 · 2280 · 2295 · 2565 · 2584 · 2754 · 2907 · 3060 · 3078 · 3230 · 3240 · 3420 · 3672 · 3876 · 4104 · 4590 · 4845 · 5130 · 5508 · 5814 · 6120 · 6156 · 6460 · 6840 · 6885 · 7695 · 7752 · 8721 · 9180 · 9690 · 10260 · 11016 · 11628 · 12312 · 12920 · 13770 · 14535 · 15390 · 17442 · 18360 · 19380 · 20520 · 23256 · 26163 · 27540 · 29070 · 30780 · 34884 · 38760 · 43605 · 52326 · 55080 · 58140 · 61560 · 69768 · 87210 · 104652 · 116280 · 130815 · 174420 · 209304 · 261630 · 348840 · 523260 (half) · 1046520
Aliquot sum (sum of proper divisors): 2,873,880
Factor pairs (a × b = 1,046,520)
1 × 1046520
2 × 523260
3 × 348840
4 × 261630
5 × 209304
6 × 174420
8 × 130815
9 × 116280
10 × 104652
12 × 87210
15 × 69768
17 × 61560
18 × 58140
19 × 55080
20 × 52326
24 × 43605
27 × 38760
30 × 34884
34 × 30780
36 × 29070
38 × 27540
40 × 26163
45 × 23256
51 × 20520
54 × 19380
57 × 18360
60 × 17442
68 × 15390
72 × 14535
76 × 13770
81 × 12920
85 × 12312
90 × 11628
95 × 11016
102 × 10260
108 × 9690
114 × 9180
120 × 8721
135 × 7752
136 × 7695
152 × 6885
153 × 6840
162 × 6460
170 × 6156
171 × 6120
180 × 5814
190 × 5508
204 × 5130
216 × 4845
228 × 4590
255 × 4104
270 × 3876
285 × 3672
306 × 3420
323 × 3240
324 × 3230
340 × 3078
342 × 3060
360 × 2907
380 × 2754
405 × 2584
408 × 2565
456 × 2295
459 × 2280
510 × 2052
513 × 2040
540 × 1938
570 × 1836
612 × 1710
646 × 1620
648 × 1615
680 × 1539
684 × 1530
760 × 1377
765 × 1368
810 × 1292
855 × 1224
918 × 1140
969 × 1080
1020 × 1026
First multiples
1,046,520 · 2,093,040 (double) · 3,139,560 · 4,186,080 · 5,232,600 · 6,279,120 · 7,325,640 · 8,372,160 · 9,418,680 · 10,465,200

Sums & aliquot sequence

As consecutive integers: 348,839 + 348,840 + 348,841 209,302 + 209,303 + 209,304 + 209,305 + 209,306 116,276 + 116,277 + … + 116,284 69,761 + 69,762 + … + 69,775
Aliquot sequence: 1,046,520 2,873,880 6,796,440 20,851,560 50,428,440 121,032,360 282,412,440 712,915,560 2,023,199,640 6,385,248,360 15,474,297,240 — keeps growing

Continued fraction of √n

√1,046,520 = [1022; (1, 226, 3, 226, 1, 2044)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million forty-six thousand five hundred twenty
Ordinal
1046520th
Binary
11111111011111111000
Octal
3773770
Hexadecimal
0xFF7F8
Base64
D/f4
One's complement
4,293,920,775 (32-bit)
Scientific notation
1.04652 × 10⁶
As a duration
1,046,520 s = 12 days, 2 hours, 42 minutes
In other bases
ternary (3) 1222011120000
quaternary (4) 3333133320
quinary (5) 231442040
senary (6) 34233000
septenary (7) 11616036
nonary (9) 1864500
undecimal (11) 6552a2
duodecimal (12) 425760
tridecimal (13) 2a8457
tetradecimal (14) 1d3556
pentadecimal (15) 15a130

As an angle

1,046,520° = 2,907 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零四萬六千五百二十
Chinese (financial)
壹佰零肆萬陸仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٦٥٢٠ Devanagari १०४६५२० Bengali ১০৪৬৫২০ Tamil ௧௦௪௬௫௨௦ Thai ๑๐๔๖๕๒๐ Tibetan ༡༠༤༦༥༢༠ Khmer ១០៤៦៥២០ Lao ໑໐໔໖໕໒໐ Burmese ၁၀၄၆၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046520, here are decompositions:

  • 23 + 1046497 = 1046520
  • 61 + 1046459 = 1046520
  • 71 + 1046449 = 1046520
  • 73 + 1046447 = 1046520
  • 107 + 1046413 = 1046520
  • 127 + 1046393 = 1046520
  • 131 + 1046389 = 1046520
  • 149 + 1046371 = 1046520

Showing the first eight; more decompositions exist.

Hex color
#0FF7F8
RGB(15, 247, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.247.248.

Address
0.15.247.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.247.248

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 6520 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6520-04-01 (DMMYYYY (Euro, single-digit day))
  • 6520-10-04 (MMDYYYY (US, single-digit day))
  • 6520-04-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,046,520 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1046520 first appears in π at position 586,033 of the decimal expansion (the 586,033ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.