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1,006,962

1,006,962 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.).

1,006,962 (one million six thousand nine hundred sixty-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 11² × 19 × 73. Its proper divisors sum to 1,355,118, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D72.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
2,696,001
Square (n²)
1,013,972,469,444
Cube (n³)
1,021,031,745,776,269,128
Divisor count
48
σ(n) — sum of divisors
2,362,080
φ(n) — Euler's totient
285,120
Sum of prime factors
119

Primality

Prime factorization: 2 × 3 × 11 2 × 19 × 73

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

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 11 · 19 · 22 · 33 · 38 · 57 · 66 · 73 · 114 · 121 · 146 · 209 · 219 · 242 · 363 · 418 · 438 · 627 · 726 · 803 · 1254 · 1387 · 1606 · 2299 · 2409 · 2774 · 4161 · 4598 · 4818 · 6897 · 8322 · 8833 · 13794 · 15257 · 17666 · 26499 · 30514 · 45771 · 52998 · 91542 · 167827 · 335654 · 503481 (half) · 1006962
Aliquot sum (sum of proper divisors): 1,355,118
Factor pairs (a × b = 1,006,962)
1 × 1006962
2 × 503481
3 × 335654
6 × 167827
11 × 91542
19 × 52998
22 × 45771
33 × 30514
38 × 26499
57 × 17666
66 × 15257
73 × 13794
114 × 8833
121 × 8322
146 × 6897
209 × 4818
219 × 4598
242 × 4161
363 × 2774
418 × 2409
438 × 2299
627 × 1606
726 × 1387
803 × 1254
First multiples
1,006,962 · 2,013,924 (double) · 3,020,886 · 4,027,848 · 5,034,810 · 6,041,772 · 7,048,734 · 8,055,696 · 9,062,658 · 10,069,620

Sums & aliquot sequence

As consecutive integers: 335,653 + 335,654 + 335,655 251,739 + 251,740 + 251,741 + 251,742 91,537 + 91,538 + … + 91,547 83,908 + 83,909 + … + 83,919
Aliquot sequence: 1,006,962 1,355,118 1,498,002 1,770,510 3,086,322 3,411,438 3,431,442 4,411,950 6,718,290 9,490,350 14,258,130 19,961,454 21,834,546 21,935,598 23,121,762 25,538,718 25,913,202 — unresolved within range

Continued fraction of √n

√1,006,962 = [1003; (2, 9, 2, 16, 8, 1, 48, 16, 1, 1, 3, 3, 2, 2, 3, 16, 3, 2, 2, 3, 3, 1, 1, 16, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one million six thousand nine hundred sixty-two
Ordinal
1006962nd
Binary
11110101110101110010
Octal
3656562
Hexadecimal
0xF5D72
Base64
D11y
One's complement
4,293,960,333 (32-bit)
Scientific notation
1.006962 × 10⁶
As a duration
1,006,962 s = 11 days, 15 hours, 42 minutes, 42 seconds
In other bases
ternary (3) 1220011021220
quaternary (4) 3311311302
quinary (5) 224210322
senary (6) 33325510
septenary (7) 11362515
nonary (9) 1804256
undecimal (11) 628600
duodecimal (12) 406896
tridecimal (13) 293448
tetradecimal (14) 1c2d7c
pentadecimal (15) 14d55c

As an angle

1,006,962° = 2,797 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬六千九百六十二
Chinese (financial)
壹佰萬陸仟玖佰陸拾貳
In other modern scripts
Eastern Arabic ١٠٠٦٩٦٢ Devanagari १००६९६२ Bengali ১০০৬৯৬২ Tamil ௧௦௦௬௯௬௨ Thai ๑๐๐๖๙๖๒ Tibetan ༡༠༠༦༩༦༢ Khmer ១០០៦៩៦២ Lao ໑໐໐໖໙໖໒ Burmese ၁၀၀၆၉၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006962, here are decompositions:

  • 13 + 1006949 = 1006962
  • 29 + 1006933 = 1006962
  • 71 + 1006891 = 1006962
  • 79 + 1006883 = 1006962
  • 83 + 1006879 = 1006962
  • 101 + 1006861 = 1006962
  • 109 + 1006853 = 1006962
  • 163 + 1006799 = 1006962

Showing the first eight; more decompositions exist.

Hex color
#0F5D72
RGB(15, 93, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.114.

Address
0.15.93.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.93.114

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 1,006,962 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°.