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1,007,916

1,007,916 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.).

1,007,916 (one million seven thousand nine hundred sixteen) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 7 × 13² × 71. Its proper divisors sum to 1,943,508, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF612C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence 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
6,197,001
Recamán's sequence
a(349,619) = 1,007,916
Square (n²)
1,015,894,663,056
Cube (n³)
1,023,936,485,208,751,296
Divisor count
72
σ(n) — sum of divisors
2,951,424
φ(n) — Euler's totient
262,080
Sum of prime factors
111

Primality

Prime factorization: 2 2 × 3 × 7 × 13 2 × 71

Nearest primes: 1,007,891 (−25) · 1,007,921 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 39 · 42 · 52 · 71 · 78 · 84 · 91 · 142 · 156 · 169 · 182 · 213 · 273 · 284 · 338 · 364 · 426 · 497 · 507 · 546 · 676 · 852 · 923 · 994 · 1014 · 1092 · 1183 · 1491 · 1846 · 1988 · 2028 · 2366 · 2769 · 2982 · 3549 · 3692 · 4732 · 5538 · 5964 · 6461 · 7098 · 11076 · 11999 · 12922 · 14196 · 19383 · 23998 · 25844 · 35997 · 38766 · 47996 · 71994 · 77532 · 83993 · 143988 · 167986 · 251979 · 335972 · 503958 (half) · 1007916
Aliquot sum (sum of proper divisors): 1,943,508
Factor pairs (a × b = 1,007,916)
1 × 1007916
2 × 503958
3 × 335972
4 × 251979
6 × 167986
7 × 143988
12 × 83993
13 × 77532
14 × 71994
21 × 47996
26 × 38766
28 × 35997
39 × 25844
42 × 23998
52 × 19383
71 × 14196
78 × 12922
84 × 11999
91 × 11076
142 × 7098
156 × 6461
169 × 5964
182 × 5538
213 × 4732
273 × 3692
284 × 3549
338 × 2982
364 × 2769
426 × 2366
497 × 2028
507 × 1988
546 × 1846
676 × 1491
852 × 1183
923 × 1092
994 × 1014
First multiples
1,007,916 · 2,015,832 (double) · 3,023,748 · 4,031,664 · 5,039,580 · 6,047,496 · 7,055,412 · 8,063,328 · 9,071,244 · 10,079,160

Sums & aliquot sequence

As consecutive integers: 335,971 + 335,972 + 335,973 143,985 + 143,986 + … + 143,991 125,986 + 125,987 + … + 125,993 77,526 + 77,527 + … + 77,538
Aliquot sequence: 1,007,916 1,943,508 3,548,076 5,913,684 11,744,684 11,982,964 12,084,044 12,329,044 14,226,604 15,465,044 15,715,756 15,715,812 29,621,788 29,746,276 29,746,332 69,709,668 116,183,004 — unresolved within range

Continued fraction of √n

√1,007,916 = [1003; (1, 19, 12, 1, 1, 2, 1, 2, 3, 1, 13, 1, 1, 3, 57, 11, 1, 6, 3, 79, 1, 500, 1, 79, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand nine hundred sixteen
Ordinal
1007916th
Binary
11110110000100101100
Octal
3660454
Hexadecimal
0xF612C
Base64
D2Es
One's complement
4,293,959,379 (32-bit)
Scientific notation
1.007916 × 10⁶
As a duration
1,007,916 s = 11 days, 15 hours, 58 minutes, 36 seconds
In other bases
ternary (3) 1220012121020
quaternary (4) 3312010230
quinary (5) 224223131
senary (6) 33334140
septenary (7) 11365350
nonary (9) 1805536
undecimal (11) 629298
duodecimal (12) 407350
tridecimal (13) 293a00
tetradecimal (14) 1c3460
pentadecimal (15) 14d996

As an angle

1,007,916° = 2,799 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬七千九百一十六
Chinese (financial)
壹佰萬柒仟玖佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٠٧٩١٦ Devanagari १००७९१६ Bengali ১০০৭৯১৬ Tamil ௧௦௦௭௯௧௬ Thai ๑๐๐๗๙๑๖ Tibetan ༡༠༠༧༩༡༦ Khmer ១០០៧៩១៦ Lao ໑໐໐໗໙໑໖ Burmese ၁၀၀၇၉၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007916, here are decompositions:

  • 29 + 1007887 = 1007916
  • 43 + 1007873 = 1007916
  • 59 + 1007857 = 1007916
  • 89 + 1007827 = 1007916
  • 97 + 1007819 = 1007916
  • 103 + 1007813 = 1007916
  • 109 + 1007807 = 1007916
  • 127 + 1007789 = 1007916

Showing the first eight; more decompositions exist.

Hex color
#0F612C
RGB(15, 97, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.44.

Address
0.15.97.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.97.44

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 1,007,916 and was likely granted around 1911.

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°.