Live analysis

1,013,356

1,013,356 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.).

1,013,356 (one million thirteen thousand three hundred fifty-six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 37 × 41 × 167. Written other ways, in hexadecimal, 0xF766C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,344 1,013,345 1,013,346 1,013,347 1,013,348 1,013,349 1,013,350 1,013,351 1,013,352 1,013,353 1,013,354 1,013,355 1,013,356 1,013,357 1,013,358 1,013,359 1,013,360 1,013,361 1,013,362 1,013,363 1,013,364 1,013,365 1,013,366 1,013,367 1,013,368

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Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 6,533,101
Square (n²): 1,026,890,382,736
Cube (n³): 1,040,605,530,687,822,016
Divisor count: 24
σ(n) — sum of divisors: 1,876,896
φ(n) — Euler's totient: 478,080
Sum of prime factors: 249

Primality

Prime factorization: 2 ² × 37 × 41 × 167

Nearest primes: 1,013,329 (−27) · 1,013,377 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 37 · 41 · 74 · 82 · 148 · 164 · 167 · 334 · 668 · 1517 · 3034 · 6068 · 6179 · 6847 · 12358 · 13694 · 24716 · 27388 · 253339 · 506678 (half) · 1013356

Aliquot sum (sum of proper divisors): 863,540

Factor pairs (a × b = 1,013,356)

1 × 1013356

2 × 506678

4 × 253339

37 × 27388

41 × 24716

74 × 13694

82 × 12358

148 × 6847

164 × 6179

167 × 6068

334 × 3034

668 × 1517

First multiples

1,013,356 · 2,026,712 (double) · 3,040,068 · 4,053,424 · 5,066,780 · 6,080,136 · 7,093,492 · 8,106,848 · 9,120,204 · 10,133,560

Sums & aliquot sequence

As consecutive integers: 126,666 + 126,667 + … + 126,673 27,370 + 27,371 + … + 27,406 24,696 + 24,697 + … + 24,736 5,985 + 5,986 + … + 6,151

Aliquot sequence: 1,013,356 → 863,540 → 949,936 → 1,032,576 → 1,711,224 → 2,923,536 → 6,745,488 → 10,887,312 → 17,238,368 → 22,515,136 → 30,337,184 → 33,384,544 → 32,470,616 → 28,489,984 → 28,956,636 → 46,552,644 → 80,456,700 — unresolved within range

Continued fraction of √n

√1,013,356 = [1006; (1, 1, 1, 9, 1, 1, 1, 1, 6, 1, 4, 1, 2, 1, 1, 1, 1, 1, 12, 23, 1, 7, 1, 94, …)]

Representations

In words: one million thirteen thousand three hundred fifty-six
Ordinal: 1013356th
Binary: 11110111011001101100
Octal: 3673154
Hexadecimal: 0xF766C
Base64: D3Zs
One's complement: 4,293,953,939 (32-bit)
Scientific notation: 1.013356 × 10⁶
As a duration: 1,013,356 s = 11 days, 17 hours, 29 minutes, 16 seconds

In other bases

ternary (3) 1220111001201

quaternary (4) 3313121230

quinary (5) 224411411

senary (6) 33415244

septenary (7) 11420251

nonary (9) 1814051

undecimal (11) 632393

duodecimal (12) 40a524

tridecimal (13) 296326

tetradecimal (14) 1c5428

pentadecimal (15) 1503c1

As an angle

1,013,356° = 2,814 × 360° + 316°

316° ≈ 5.515 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千三百五十六
Chinese (financial): 壹佰零壹萬參仟參佰伍拾陸

In other modern scripts

Eastern Arabic ١٠١٣٣٥٦ Devanagari १०१३३५६ Bengali ১০১৩৩৫৬ Tamil ௧௦௧௩௩௫௬ Thai ๑๐๑๓๓๕๖ Tibetan ༡༠༡༣༣༥༦ Khmer ១០១៣៣៥៦ Lao ໑໐໑໓໓໕໖ Burmese ၁၀၁၃၃၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013356, here are decompositions:

89 + 1013267 = 1013356
107 + 1013249 = 1013356
293 + 1013063 = 1013356
347 + 1013009 = 1013356
353 + 1013003 = 1013356
359 + 1012997 = 1013356
389 + 1012967 = 1013356
587 + 1012769 = 1013356

Showing the first eight; more decompositions exist.

Hex color

#0F766C

RGB(15, 118, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.108.

Address: 0.15.118.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.108

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3356 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3356-10-01 (MMDYYYY (US, single-digit day))
3356-01-10 (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 1,013,356 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,013,356 on Google Patents ↗ Look up on USPTO ↗