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1,013,636

1,013,636 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.).

1,013,636 (one million thirteen thousand six hundred thirty-six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 101 × 193. Written other ways, in hexadecimal, 0xF7784.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
6,363,101
Square (n²)
1,027,457,940,496
Cube (n³)
1,041,468,356,972,603,456
Divisor count
24
σ(n) — sum of divisors
1,939,224
φ(n) — Euler's totient
460,800
Sum of prime factors
311

Primality

Prime factorization: 2 2 × 13 × 101 × 193

Nearest primes: 1,013,629 (−7) · 1,013,641 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 26 · 52 · 101 · 193 · 202 · 386 · 404 · 772 · 1313 · 2509 · 2626 · 5018 · 5252 · 10036 · 19493 · 38986 · 77972 · 253409 · 506818 (half) · 1013636
Aliquot sum (sum of proper divisors): 925,588
Factor pairs (a × b = 1,013,636)
1 × 1013636
2 × 506818
4 × 253409
13 × 77972
26 × 38986
52 × 19493
101 × 10036
193 × 5252
202 × 5018
386 × 2626
404 × 2509
772 × 1313
First multiples
1,013,636 · 2,027,272 (double) · 3,040,908 · 4,054,544 · 5,068,180 · 6,081,816 · 7,095,452 · 8,109,088 · 9,122,724 · 10,136,360

Sums & aliquot sequence

As a sum of two squares: 40² + 1,006² = 160² + 994² = 350² + 944² = 530² + 856²
As consecutive integers: 126,701 + 126,702 + … + 126,708 77,966 + 77,967 + … + 77,978 9,986 + 9,987 + … + 10,086 9,695 + 9,696 + … + 9,798
Aliquot sequence: 1,013,636 925,588 706,112 939,808 956,240 1,267,204 950,410 779,102 440,434 220,220 405,412 405,468 766,612 1,007,468 1,191,316 1,215,340 1,701,812 — unresolved within range

Continued fraction of √n

√1,013,636 = [1006; (1, 3, 1, 7, 15, 4, 8, 3, 9, 1, 20, 3, 2, 2, 1, 1, 5, 11, 1, 1, 8, 2, 7, 3, …)]

Representations

In words
one million thirteen thousand six hundred thirty-six
Ordinal
1013636th
Binary
11110111011110000100
Octal
3673604
Hexadecimal
0xF7784
Base64
D3eE
One's complement
4,293,953,659 (32-bit)
Scientific notation
1.013636 × 10⁶
As a duration
1,013,636 s = 11 days, 17 hours, 33 minutes, 56 seconds
In other bases
ternary (3) 1220111110002
quaternary (4) 3313132010
quinary (5) 224414021
senary (6) 33420432
septenary (7) 11421131
nonary (9) 1814402
undecimal (11) 632618
duodecimal (12) 40a718
tridecimal (13) 2964b0
tetradecimal (14) 1c5588
pentadecimal (15) 15050b

As an angle

1,013,636° = 2,815 × 360° + 236°
236° ≈ 4.119 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千六百三十六
Chinese (financial)
壹佰零壹萬參仟陸佰參拾陸
In other modern scripts
Eastern Arabic ١٠١٣٦٣٦ Devanagari १०१३६३६ Bengali ১০১৩৬৩৬ Tamil ௧௦௧௩௬௩௬ Thai ๑๐๑๓๖๓๖ Tibetan ༡༠༡༣༦༣༦ Khmer ១០១៣៦៣៦ Lao ໑໐໑໓໖໓໖ Burmese ၁၀၁၃၆၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013636, here are decompositions:

  • 7 + 1013629 = 1013636
  • 67 + 1013569 = 1013636
  • 73 + 1013563 = 1013636
  • 103 + 1013533 = 1013636
  • 109 + 1013527 = 1013636
  • 307 + 1013329 = 1013636
  • 373 + 1013263 = 1013636
  • 397 + 1013239 = 1013636

Showing the first eight; more decompositions exist.

Hex color
#0F7784
RGB(15, 119, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.132.

Address
0.15.119.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.132

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3636 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3636-10-01 (MMDYYYY (US, single-digit day))
  • 3636-01-10 (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 1,013,636 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 1013636 first appears in π at position 804,691 of the decimal expansion (the 804,691ordinal-suffix:st 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°.