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1,047,480

1,047,480 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.).

1,047,480 (one million forty-seven thousand four hundred eighty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 29 × 43. Its proper divisors sum to 2,754,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFBB8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
847,401
Square (n²)
1,097,214,350,400
Cube (n³)
1,149,310,087,756,992,000
Divisor count
128
σ(n) — sum of divisors
3,801,600
φ(n) — Euler's totient
225,792
Sum of prime factors
93

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 29 × 43

Nearest primes: 1,047,479 (−1) · 1,047,491 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 29 · 30 · 35 · 40 · 42 · 43 · 56 · 58 · 60 · 70 · 84 · 86 · 87 · 105 · 116 · 120 · 129 · 140 · 145 · 168 · 172 · 174 · 203 · 210 · 215 · 232 · 258 · 280 · 290 · 301 · 344 · 348 · 406 · 420 · 430 · 435 · 516 · 580 · 602 · 609 · 645 · 696 · 812 · 840 · 860 · 870 · 903 · 1015 · 1032 · 1160 · 1204 · 1218 · 1247 · 1290 · 1505 · 1624 · 1720 · 1740 · 1806 · 2030 · 2408 · 2436 · 2494 · 2580 · 3010 · 3045 · 3480 · 3612 · 3741 · 4060 · 4515 · 4872 · 4988 · 5160 · 6020 · 6090 · 6235 · 7224 · 7482 · 8120 · 8729 · 9030 · 9976 · 12040 · 12180 · 12470 · 14964 · 17458 · 18060 · 18705 · 24360 · 24940 · 26187 · 29928 · 34916 · 36120 · 37410 · 43645 · 49880 · 52374 · 69832 · 74820 · 87290 · 104748 · 130935 · 149640 · 174580 · 209496 · 261870 · 349160 · 523740 (half) · 1047480
Aliquot sum (sum of proper divisors): 2,754,120
Factor pairs (a × b = 1,047,480)
1 × 1047480
2 × 523740
3 × 349160
4 × 261870
5 × 209496
6 × 174580
7 × 149640
8 × 130935
10 × 104748
12 × 87290
14 × 74820
15 × 69832
20 × 52374
21 × 49880
24 × 43645
28 × 37410
29 × 36120
30 × 34916
35 × 29928
40 × 26187
42 × 24940
43 × 24360
56 × 18705
58 × 18060
60 × 17458
70 × 14964
84 × 12470
86 × 12180
87 × 12040
105 × 9976
116 × 9030
120 × 8729
129 × 8120
140 × 7482
145 × 7224
168 × 6235
172 × 6090
174 × 6020
203 × 5160
210 × 4988
215 × 4872
232 × 4515
258 × 4060
280 × 3741
290 × 3612
301 × 3480
344 × 3045
348 × 3010
406 × 2580
420 × 2494
430 × 2436
435 × 2408
516 × 2030
580 × 1806
602 × 1740
609 × 1720
645 × 1624
696 × 1505
812 × 1290
840 × 1247
860 × 1218
870 × 1204
903 × 1160
1015 × 1032
First multiples
1,047,480 · 2,094,960 (double) · 3,142,440 · 4,189,920 · 5,237,400 · 6,284,880 · 7,332,360 · 8,379,840 · 9,427,320 · 10,474,800

Sums & aliquot sequence

As consecutive integers: 349,159 + 349,160 + 349,161 209,494 + 209,495 + 209,496 + 209,497 + 209,498 149,637 + 149,638 + … + 149,643 69,825 + 69,826 + … + 69,839
Aliquot sequence: 1,047,480 2,754,120 5,669,880 11,813,160 23,626,680 64,777,800 138,111,000 315,661,800 710,611,800 1,569,242,280 3,138,484,920 6,830,826,600 16,029,585,240 — keeps growing

Continued fraction of √n

√1,047,480 = [1023; (2, 6, 1, 1, 2, 1, 1, 16, 2, 1, 101, 1, 2, 16, 1, 1, 2, 1, 1, 6, 2, 2046)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one million forty-seven thousand four hundred eighty
Ordinal
1047480th
Binary
11111111101110111000
Octal
3775670
Hexadecimal
0xFFBB8
Base64
D/u4
One's complement
4,293,919,815 (32-bit)
Scientific notation
1.04748 × 10⁶
As a duration
1,047,480 s = 12 days, 2 hours, 58 minutes
In other bases
ternary (3) 1222012212120
quaternary (4) 3333232320
quinary (5) 232004410
senary (6) 34241240
septenary (7) 11621610
nonary (9) 1865776
undecimal (11) 655a95
duodecimal (12) 426220
tridecimal (13) 2a8a15
tetradecimal (14) 1d3a40
pentadecimal (15) 15a570

As an angle

1,047,480° = 2,909 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零四萬七千四百八十
Chinese (financial)
壹佰零肆萬柒仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٠٤٧٤٨٠ Devanagari १०४७४८० Bengali ১০৪৭৪৮০ Tamil ௧௦௪௭௪௮௦ Thai ๑๐๔๗๔๘๐ Tibetan ༡༠༤༧༤༨༠ Khmer ១០៤៧៤៨០ Lao ໑໐໔໗໔໘໐ Burmese ၁၀၄၇၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047480, here are decompositions:

  • 11 + 1047469 = 1047480
  • 13 + 1047467 = 1047480
  • 61 + 1047419 = 1047480
  • 89 + 1047391 = 1047480
  • 101 + 1047379 = 1047480
  • 107 + 1047373 = 1047480
  • 113 + 1047367 = 1047480
  • 139 + 1047341 = 1047480

Showing the first eight; more decompositions exist.

Hex color
#0FFBB8
RGB(15, 251, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.251.184.

Address
0.15.251.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.251.184

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 7480 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7480-04-01 (DMMYYYY (Euro, single-digit day))
  • 7480-10-04 (MMDYYYY (US, single-digit day))
  • 7480-04-10 (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 1,047,480 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°.