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1,046,500

1,046,500 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.).

1,046,500 (one million forty-six thousand five hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 5³ × 7 × 13 × 23. Its proper divisors sum to 1,888,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF7E4.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
56,401
Square (n²)
1,095,162,250,000
Cube (n³)
1,146,087,294,625,000,000
Divisor count
96
σ(n) — sum of divisors
2,935,296
φ(n) — Euler's totient
316,800
Sum of prime factors
62

Primality

Prime factorization: 2 2 × 5 3 × 7 × 13 × 23

Nearest primes: 1,046,497 (−3) · 1,046,519 (+19)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 7 · 10 · 13 · 14 · 20 · 23 · 25 · 26 · 28 · 35 · 46 · 50 · 52 · 65 · 70 · 91 · 92 · 100 · 115 · 125 · 130 · 140 · 161 · 175 · 182 · 230 · 250 · 260 · 299 · 322 · 325 · 350 · 364 · 455 · 460 · 500 · 575 · 598 · 644 · 650 · 700 · 805 · 875 · 910 · 1150 · 1196 · 1300 · 1495 · 1610 · 1625 · 1750 · 1820 · 2093 · 2275 · 2300 · 2875 · 2990 · 3220 · 3250 · 3500 · 4025 · 4186 · 4550 · 5750 · 5980 · 6500 · 7475 · 8050 · 8372 · 9100 · 10465 · 11375 · 11500 · 14950 · 16100 · 20125 · 20930 · 22750 · 29900 · 37375 · 40250 · 41860 · 45500 · 52325 · 74750 · 80500 · 104650 · 149500 · 209300 · 261625 · 523250 (half) · 1046500
Aliquot sum (sum of proper divisors): 1,888,796
Factor pairs (a × b = 1,046,500)
1 × 1046500
2 × 523250
4 × 261625
5 × 209300
7 × 149500
10 × 104650
13 × 80500
14 × 74750
20 × 52325
23 × 45500
25 × 41860
26 × 40250
28 × 37375
35 × 29900
46 × 22750
50 × 20930
52 × 20125
65 × 16100
70 × 14950
91 × 11500
92 × 11375
100 × 10465
115 × 9100
125 × 8372
130 × 8050
140 × 7475
161 × 6500
175 × 5980
182 × 5750
230 × 4550
250 × 4186
260 × 4025
299 × 3500
322 × 3250
325 × 3220
350 × 2990
364 × 2875
455 × 2300
460 × 2275
500 × 2093
575 × 1820
598 × 1750
644 × 1625
650 × 1610
700 × 1495
805 × 1300
875 × 1196
910 × 1150
First multiples
1,046,500 · 2,093,000 (double) · 3,139,500 · 4,186,000 · 5,232,500 · 6,279,000 · 7,325,500 · 8,372,000 · 9,418,500 · 10,465,000

Sums & aliquot sequence

As consecutive integers: 209,298 + 209,299 + 209,300 + 209,301 + 209,302 149,497 + 149,498 + … + 149,503 130,809 + 130,810 + … + 130,816 80,494 + 80,495 + … + 80,506
Aliquot sequence: 1,046,500 1,888,796 2,180,164 2,180,220 5,077,380 13,078,716 21,798,084 43,746,108 72,910,404 143,853,052 144,122,468 144,586,204 144,586,260 413,555,688 1,020,546,072 2,414,885,928 5,049,797,592 — unresolved within range

Continued fraction of √n

√1,046,500 = [1022; (1, 69, 1, 1, 4, 2, 1, 1, 1, 2, 1, 8, 2, 1, 2, 2, 6, 2, 2, 1, 2, 8, 1, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million forty-six thousand five hundred
Ordinal
1046500th
Binary
11111111011111100100
Octal
3773744
Hexadecimal
0xFF7E4
Base64
D/fk
One's complement
4,293,920,795 (32-bit)
Scientific notation
1.0465 × 10⁶
As a duration
1,046,500 s = 12 days, 2 hours, 41 minutes, 40 seconds
In other bases
ternary (3) 1222011112021
quaternary (4) 3333133210
quinary (5) 231442000
senary (6) 34232524
septenary (7) 11616010
nonary (9) 1864467
undecimal (11) 655284
duodecimal (12) 425744
tridecimal (13) 2a8440
tetradecimal (14) 1d3540
pentadecimal (15) 15a11a

As an angle

1,046,500° = 2,906 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Chinese
一百零四萬六千五百
Chinese (financial)
壹佰零肆萬陸仟伍佰
In other modern scripts
Eastern Arabic ١٠٤٦٥٠٠ Devanagari १०४६५०० Bengali ১০৪৬৫০০ Tamil ௧௦௪௬௫௦௦ Thai ๑๐๔๖๕๐๐ Tibetan ༡༠༤༦༥༠༠ Khmer ១០៤៦៥០០ Lao ໑໐໔໖໕໐໐ Burmese ၁၀၄၆၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046500, here are decompositions:

  • 3 + 1046497 = 1046500
  • 41 + 1046459 = 1046500
  • 53 + 1046447 = 1046500
  • 101 + 1046399 = 1046500
  • 107 + 1046393 = 1046500
  • 131 + 1046369 = 1046500
  • 149 + 1046351 = 1046500
  • 263 + 1046237 = 1046500

Showing the first eight; more decompositions exist.

Hex color
#0FF7E4
RGB(15, 247, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.247.228.

Address
0.15.247.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.247.228

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 6500 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6500-04-01 (DMMYYYY (Euro, single-digit day))
  • 6500-10-04 (MMDYYYY (US, single-digit day))
  • 6500-04-10 (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 1,046,500 and was likely granted around 1912.

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

Related reading

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