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1,013,816

1,013,816 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.).

1,013,816 (one million thirteen thousand eight hundred sixteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 353 × 359. Written other ways, in hexadecimal, 0xF7838.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
6,183,101
Square (n²)
1,027,822,881,856
Cube (n³)
1,042,023,282,791,722,496
Divisor count
16
σ(n) — sum of divisors
1,911,600
φ(n) — Euler's totient
504,064
Sum of prime factors
718

Primality

Prime factorization: 2 3 × 353 × 359

Nearest primes: 1,013,813 (−3) · 1,013,819 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 353 · 359 · 706 · 718 · 1412 · 1436 · 2824 · 2872 · 126727 · 253454 · 506908 (half) · 1013816
Aliquot sum (sum of proper divisors): 897,784
Factor pairs (a × b = 1,013,816)
1 × 1013816
2 × 506908
4 × 253454
8 × 126727
353 × 2872
359 × 2824
706 × 1436
718 × 1412
First multiples
1,013,816 · 2,027,632 (double) · 3,041,448 · 4,055,264 · 5,069,080 · 6,082,896 · 7,096,712 · 8,110,528 · 9,124,344 · 10,138,160

Sums & aliquot sequence

As consecutive integers: 63,356 + 63,357 + … + 63,371 2,696 + 2,697 + … + 3,048 2,645 + 2,646 + … + 3,003
Aliquot sequence: 1,013,816 897,784 785,576 856,024 872,696 958,984 977,636 1,000,060 1,169,156 927,064 811,196 608,404 468,896 454,306 227,156 174,784 172,180 — unresolved within range

Continued fraction of √n

√1,013,816 = [1006; (1, 7, 1, 1, 1, 4, 11, 1, 5, 2, 1, 1, 6, 1, 5, 6, 1, 250, 1, 6, 5, 1, 6, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million thirteen thousand eight hundred sixteen
Ordinal
1013816th
Binary
11110111100000111000
Octal
3674070
Hexadecimal
0xF7838
Base64
D3g4
One's complement
4,293,953,479 (32-bit)
Scientific notation
1.013816 × 10⁶
As a duration
1,013,816 s = 11 days, 17 hours, 36 minutes, 56 seconds
In other bases
ternary (3) 1220111200202
quaternary (4) 3313200320
quinary (5) 224420231
senary (6) 33421332
septenary (7) 11421506
nonary (9) 1814622
undecimal (11) 632771
duodecimal (12) 40a848
tridecimal (13) 2965bb
tetradecimal (14) 1c5676
pentadecimal (15) 1505cb

As an angle

1,013,816° = 2,816 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千八百一十六
Chinese (financial)
壹佰零壹萬參仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١٠١٣٨١٦ Devanagari १०१३८१६ Bengali ১০১৩৮১৬ Tamil ௧௦௧௩௮௧௬ Thai ๑๐๑๓๘๑๖ Tibetan ༡༠༡༣༨༡༦ Khmer ១០១៣៨១៦ Lao ໑໐໑໓໘໑໖ Burmese ၁၀၁၃၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013816, here are decompositions:

  • 3 + 1013813 = 1013816
  • 43 + 1013773 = 1013816
  • 103 + 1013713 = 1013816
  • 283 + 1013533 = 1013816
  • 313 + 1013503 = 1013816
  • 439 + 1013377 = 1013816
  • 487 + 1013329 = 1013816
  • 577 + 1013239 = 1013816

Showing the first eight; more decompositions exist.

Hex color
#0F7838
RGB(15, 120, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.56.

Address
0.15.120.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.120.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3816 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3816-10-01 (MMDYYYY (US, single-digit day))
  • 3816-01-10 (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 1,013,816 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 1013816 first appears in π at position 962,153 of the decimal expansion (the 962,153ordinal-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°.