number.wiki
Live analysis

987,012

987,012 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.).

987,012 (nine hundred eighty-seven thousand twelve) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 13 × 19 × 37. Its proper divisors sum to 1,992,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF0F84.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
210,789
Square (n²)
974,192,688,144
Cube (n³)
961,539,873,510,385,728
Divisor count
96
σ(n) — sum of divisors
2,979,200
φ(n) — Euler's totient
279,936
Sum of prime factors
82

Primality

Prime factorization: 2 2 × 3 3 × 13 × 19 × 37

Nearest primes: 986,989 (−23) · 987,013 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 19 · 26 · 27 · 36 · 37 · 38 · 39 · 52 · 54 · 57 · 74 · 76 · 78 · 108 · 111 · 114 · 117 · 148 · 156 · 171 · 222 · 228 · 234 · 247 · 333 · 342 · 351 · 444 · 468 · 481 · 494 · 513 · 666 · 684 · 702 · 703 · 741 · 962 · 988 · 999 · 1026 · 1332 · 1404 · 1406 · 1443 · 1482 · 1924 · 1998 · 2052 · 2109 · 2223 · 2812 · 2886 · 2964 · 3996 · 4218 · 4329 · 4446 · 5772 · 6327 · 6669 · 8436 · 8658 · 8892 · 9139 · 12654 · 12987 · 13338 · 17316 · 18278 · 18981 · 25308 · 25974 · 26676 · 27417 · 36556 · 37962 · 51948 · 54834 · 75924 · 82251 · 109668 · 164502 · 246753 · 329004 · 493506 (half) · 987012
Aliquot sum (sum of proper divisors): 1,992,188
Factor pairs (a × b = 987,012)
1 × 987012
2 × 493506
3 × 329004
4 × 246753
6 × 164502
9 × 109668
12 × 82251
13 × 75924
18 × 54834
19 × 51948
26 × 37962
27 × 36556
36 × 27417
37 × 26676
38 × 25974
39 × 25308
52 × 18981
54 × 18278
57 × 17316
74 × 13338
76 × 12987
78 × 12654
108 × 9139
111 × 8892
114 × 8658
117 × 8436
148 × 6669
156 × 6327
171 × 5772
222 × 4446
228 × 4329
234 × 4218
247 × 3996
333 × 2964
342 × 2886
351 × 2812
444 × 2223
468 × 2109
481 × 2052
494 × 1998
513 × 1924
666 × 1482
684 × 1443
702 × 1406
703 × 1404
741 × 1332
962 × 1026
988 × 999
First multiples
987,012 · 1,974,024 (double) · 2,961,036 · 3,948,048 · 4,935,060 · 5,922,072 · 6,909,084 · 7,896,096 · 8,883,108 · 9,870,120

Sums & aliquot sequence

As a sum of two cubes: 69³ + 87³
As consecutive integers: 329,003 + 329,004 + 329,005 123,373 + 123,374 + … + 123,380 109,664 + 109,665 + … + 109,672 75,918 + 75,919 + … + 75,930
Aliquot sequence: 987,012 1,992,188 2,012,932 1,509,706 981,782 490,894 256,034 130,186 106,550 91,726 45,866 31,894 17,354 8,680 14,360 18,040 27,320 — unresolved within range

Continued fraction of √n

√987,012 = [993; (2, 15, 1, 11, 1, 2, 1, 1, 8, 1, 3, 1, 72, 1, 3, 1, 8, 1, 1, 2, 1, 11, 1, 15, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-seven thousand twelve
Ordinal
987012th
Binary
11110000111110000100
Octal
3607604
Hexadecimal
0xF0F84
Base64
Dw+E
One's complement
4,293,980,283 (32-bit)
Scientific notation
9.87012 × 10⁵
As a duration
987,012 s = 11 days, 10 hours, 10 minutes, 12 seconds
In other bases
ternary (3) 1212010221000
quaternary (4) 3300332010
quinary (5) 223041022
senary (6) 33053300
septenary (7) 11250405
nonary (9) 1763830
undecimal (11) 614614
duodecimal (12) 3b7230
tridecimal (13) 287340
tetradecimal (14) 1b99ac
pentadecimal (15) 1476ac

As an angle

987,012° = 2,741 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Greek (Milesian)
͵ϡπζιβʹ
Chinese
九十八萬七千零一十二
Chinese (financial)
玖拾捌萬柒仟零壹拾貳
In other modern scripts
Eastern Arabic ٩٨٧٠١٢ Devanagari ९८७०१२ Bengali ৯৮৭০১২ Tamil ௯௮௭௦௧௨ Thai ๙๘๗๐๑๒ Tibetan ༩༨༧༠༡༢ Khmer ៩៨៧០១២ Lao ໙໘໗໐໑໒ Burmese ၉၈၇၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 987012, here are decompositions:

  • 23 + 986989 = 987012
  • 29 + 986983 = 987012
  • 31 + 986981 = 987012
  • 53 + 986959 = 987012
  • 71 + 986941 = 987012
  • 79 + 986933 = 987012
  • 83 + 986929 = 987012
  • 109 + 986903 = 987012

Showing the first eight; more decompositions exist.

Hex color
#0F0F84
RGB(15, 15, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.15.132.

Address
0.15.15.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.15.132

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

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 987,012 and was likely granted around 1911.

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

Position in π

The digit sequence 987012 first appears in π at position 338,596 of the decimal expansion (the 338,596ordinal-suffix:th 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°.