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1,006,956

1,006,956 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.).

1,006,956 (one million six thousand nine hundred fifty-six) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 83 × 337. Its proper divisors sum to 1,576,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D6C.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,596,001
Square (n²)
1,013,960,385,936
Cube (n³)
1,021,013,494,380,570,816
Divisor count
36
σ(n) — sum of divisors
2,583,672
φ(n) — Euler's totient
330,624
Sum of prime factors
430

Primality

Prime factorization: 2 2 × 3 2 × 83 × 337

Nearest primes: 1,006,949 (−7) · 1,006,969 (+13)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 83 · 166 · 249 · 332 · 337 · 498 · 674 · 747 · 996 · 1011 · 1348 · 1494 · 2022 · 2988 · 3033 · 4044 · 6066 · 12132 · 27971 · 55942 · 83913 · 111884 · 167826 · 251739 · 335652 · 503478 (half) · 1006956
Aliquot sum (sum of proper divisors): 1,576,716
Factor pairs (a × b = 1,006,956)
1 × 1006956
2 × 503478
3 × 335652
4 × 251739
6 × 167826
9 × 111884
12 × 83913
18 × 55942
36 × 27971
83 × 12132
166 × 6066
249 × 4044
332 × 3033
337 × 2988
498 × 2022
674 × 1494
747 × 1348
996 × 1011
First multiples
1,006,956 · 2,013,912 (double) · 3,020,868 · 4,027,824 · 5,034,780 · 6,041,736 · 7,048,692 · 8,055,648 · 9,062,604 · 10,069,560

Sums & aliquot sequence

As consecutive integers: 335,651 + 335,652 + 335,653 125,866 + 125,867 + … + 125,873 111,880 + 111,881 + … + 111,888 41,945 + 41,946 + … + 41,968
Aliquot sequence: 1,006,956 1,576,716 2,414,964 3,219,980 3,599,140 3,959,096 4,095,544 3,714,656 4,441,072 4,163,536 4,775,128 4,211,552 4,080,004 3,060,010 2,626,262 1,544,914 1,123,694 — unresolved within range

Continued fraction of √n

√1,006,956 = [1003; (2, 8, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 8, 5, 1, 9, 1, 1, 3, 1, 1, 7, …)]

Representations

In words
one million six thousand nine hundred fifty-six
Ordinal
1006956th
Binary
11110101110101101100
Octal
3656554
Hexadecimal
0xF5D6C
Base64
D11s
One's complement
4,293,960,339 (32-bit)
Scientific notation
1.006956 × 10⁶
As a duration
1,006,956 s = 11 days, 15 hours, 42 minutes, 36 seconds
In other bases
ternary (3) 1220011021200
quaternary (4) 3311311230
quinary (5) 224210311
senary (6) 33325500
septenary (7) 11362506
nonary (9) 1804250
undecimal (11) 6285a5
duodecimal (12) 406890
tridecimal (13) 293442
tetradecimal (14) 1c2d76
pentadecimal (15) 14d556

As an angle

1,006,956° = 2,797 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千九百五十六
Chinese (financial)
壹佰萬陸仟玖佰伍拾陸
In other modern scripts
Eastern Arabic ١٠٠٦٩٥٦ Devanagari १००६९५६ Bengali ১০০৬৯৫৬ Tamil ௧௦௦௬௯௫௬ Thai ๑๐๐๖๙๕๖ Tibetan ༡༠༠༦༩༥༦ Khmer ១០០៦៩៥៦ Lao ໑໐໐໖໙໕໖ Burmese ၁၀၀၆၉၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006956, here are decompositions:

  • 7 + 1006949 = 1006956
  • 19 + 1006937 = 1006956
  • 23 + 1006933 = 1006956
  • 59 + 1006897 = 1006956
  • 73 + 1006883 = 1006956
  • 79 + 1006877 = 1006956
  • 103 + 1006853 = 1006956
  • 109 + 1006847 = 1006956

Showing the first eight; more decompositions exist.

Hex color
#0F5D6C
RGB(15, 93, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.108.

Address
0.15.93.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.93.108

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 1,006,956 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°.