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1,013,314

1,013,314 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.).

1,013,314 (one million thirteen thousand three hundred fourteen) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 103 × 4,919. Written other ways, in hexadecimal, 0xF7642.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
4,133,101
Square (n²)
1,026,805,262,596
Cube (n³)
1,040,476,147,862,203,144
Divisor count
8
σ(n) — sum of divisors
1,535,040
φ(n) — Euler's totient
501,636
Sum of prime factors
5,024

Primality

Prime factorization: 2 × 103 × 4919

Nearest primes: 1,013,291 (−23) · 1,013,321 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 103 · 206 · 4919 · 9838 · 506657 (half) · 1013314
Aliquot sum (sum of proper divisors): 521,726
Factor pairs (a × b = 1,013,314)
1 × 1013314
2 × 506657
103 × 9838
206 × 4919
First multiples
1,013,314 · 2,026,628 (double) · 3,039,942 · 4,053,256 · 5,066,570 · 6,079,884 · 7,093,198 · 8,106,512 · 9,119,826 · 10,133,140

Sums & aliquot sequence

As consecutive integers: 253,327 + 253,328 + 253,329 + 253,330 9,787 + 9,788 + … + 9,889 2,254 + 2,255 + … + 2,665
Aliquot sequence: 1,013,314 521,726 260,866 159,038 101,242 51,974 32,026 16,934 8,470 10,682 8,128 8,128 — reaches a perfect number

Continued fraction of √n

√1,013,314 = [1006; (1, 1, 1, 2, 1, 5, 3, 1, 1, 5, 1, 3, 4, 1, 1, 3, 1, 11, 1, 2, 1, 1, 1, 2, …)]

Representations

In words
one million thirteen thousand three hundred fourteen
Ordinal
1013314th
Binary
11110111011001000010
Octal
3673102
Hexadecimal
0xF7642
Base64
D3ZC
One's complement
4,293,953,981 (32-bit)
Scientific notation
1.013314 × 10⁶
As a duration
1,013,314 s = 11 days, 17 hours, 28 minutes, 34 seconds
In other bases
ternary (3) 1220111000011
quaternary (4) 3313121002
quinary (5) 224411224
senary (6) 33415134
septenary (7) 11420161
nonary (9) 1814004
undecimal (11) 632355
duodecimal (12) 40a4aa
tridecimal (13) 2962c3
tetradecimal (14) 1c53d8
pentadecimal (15) 150394

As an angle

1,013,314° = 2,814 × 360° + 274°
274° ≈ 4.782 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千三百一十四
Chinese (financial)
壹佰零壹萬參仟參佰壹拾肆
In other modern scripts
Eastern Arabic ١٠١٣٣١٤ Devanagari १०१३३१४ Bengali ১০১৩৩১৪ Tamil ௧௦௧௩௩௧௪ Thai ๑๐๑๓๓๑๔ Tibetan ༡༠༡༣༣༡༤ Khmer ១០១៣៣១៤ Lao ໑໐໑໓໓໑໔ Burmese ၁၀၁၃၃၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013314, here are decompositions:

  • 23 + 1013291 = 1013314
  • 47 + 1013267 = 1013314
  • 251 + 1013063 = 1013314
  • 311 + 1013003 = 1013314
  • 317 + 1012997 = 1013314
  • 347 + 1012967 = 1013314
  • 383 + 1012931 = 1013314
  • 503 + 1012811 = 1013314

Showing the first eight; more decompositions exist.

Hex color
#0F7642
RGB(15, 118, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.66.

Address
0.15.118.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.66

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3314 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3314-10-01 (MMDYYYY (US, single-digit day))
  • 3314-01-10 (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 1,013,314 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 1013314 first appears in π at position 464,583 of the decimal expansion (the 464,583ordinal-suffix:rd 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°.