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1,012,964

1,012,964 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.).

1,012,964 (one million twelve thousand nine hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 157 × 1,613. Written other ways, in hexadecimal, 0xF74E4.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
4,692,101
Square (n²)
1,026,096,065,296
Cube (n³)
1,039,398,374,686,497,344
Divisor count
12
σ(n) — sum of divisors
1,785,084
φ(n) — Euler's totient
502,944
Sum of prime factors
1,774

Primality

Prime factorization: 2 2 × 157 × 1613

Nearest primes: 1,012,931 (−33) · 1,012,967 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 157 · 314 · 628 · 1613 · 3226 · 6452 · 253241 · 506482 (half) · 1012964
Aliquot sum (sum of proper divisors): 772,120
Factor pairs (a × b = 1,012,964)
1 × 1012964
2 × 506482
4 × 253241
157 × 6452
314 × 3226
628 × 1613
First multiples
1,012,964 · 2,025,928 (double) · 3,038,892 · 4,051,856 · 5,064,820 · 6,077,784 · 7,090,748 · 8,103,712 · 9,116,676 · 10,129,640

Sums & aliquot sequence

As a sum of two squares: 170² + 992² = 680² + 742²
As consecutive integers: 126,617 + 126,618 + … + 126,624 6,374 + 6,375 + … + 6,530 179 + 180 + … + 1,434
Aliquot sequence: 1,012,964 772,120 991,880 1,268,560 1,729,016 1,512,904 1,338,116 1,183,816 1,035,854 517,930 576,470 522,538 302,582 216,154 134,054 69,394 50,054 — unresolved within range

Continued fraction of √n

√1,012,964 = [1006; (2, 5, 1, 13, 1, 1, 7, 2, 1, 8, 2, 2, 1, 17, 9, 1, 6, 8, 1, 5, 3, 3, 3, 12, …)]

Representations

In words
one million twelve thousand nine hundred sixty-four
Ordinal
1012964th
Binary
11110111010011100100
Octal
3672344
Hexadecimal
0xF74E4
Base64
D3Tk
One's complement
4,293,954,331 (32-bit)
Scientific notation
1.012964 × 10⁶
As a duration
1,012,964 s = 11 days, 17 hours, 22 minutes, 44 seconds
In other bases
ternary (3) 1220110112012
quaternary (4) 3313103210
quinary (5) 224403324
senary (6) 33413352
septenary (7) 11416151
nonary (9) 1813465
undecimal (11) 632067
duodecimal (12) 40a258
tridecimal (13) 2960b4
tetradecimal (14) 1c5228
pentadecimal (15) 15020e

As an angle

1,012,964° = 2,813 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千九百六十四
Chinese (financial)
壹佰零壹萬貳仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٠١٢٩٦٤ Devanagari १०१२९६४ Bengali ১০১২৯৬৪ Tamil ௧௦௧௨௯௬௪ Thai ๑๐๑๒๙๖๔ Tibetan ༡༠༡༢༩༦༤ Khmer ១០១២៩៦៤ Lao ໑໐໑໒໙໖໔ Burmese ၁၀၁၂၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012964, here are decompositions:

  • 61 + 1012903 = 1012964
  • 103 + 1012861 = 1012964
  • 193 + 1012771 = 1012964
  • 307 + 1012657 = 1012964
  • 331 + 1012633 = 1012964
  • 367 + 1012597 = 1012964
  • 373 + 1012591 = 1012964
  • 457 + 1012507 = 1012964

Showing the first eight; more decompositions exist.

Hex color
#0F74E4
RGB(15, 116, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.116.228.

Address
0.15.116.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.116.228

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 2964 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2964-10-01 (MMDYYYY (US, single-digit day))
  • 2964-01-10 (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 1,012,964 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 1012964 first appears in π at position 871,652 of the decimal expansion (the 871,652ordinal-suffix:nd 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°.