Live analysis

1,013,370

1,013,370 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.).

1,013,370 (one million thirteen thousand three hundred seventy) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 17 × 1,987. Its proper divisors sum to 1,563,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF767A.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,013,369 1,013,370 1,013,371 1,013,372 1,013,373 1,013,374 1,013,375 1,013,376 1,013,377 1,013,378 1,013,379 1,013,380 1,013,381 1,013,382

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 733,101
Square (n²): 1,026,918,756,900
Cube (n³): 1,040,648,660,679,753,000
Divisor count: 32
σ(n) — sum of divisors: 2,576,448
φ(n) — Euler's totient: 254,208
Sum of prime factors: 2,014

Primality

Prime factorization: 2 × 3 × 5 × 17 × 1987

Nearest primes: 1,013,329 (−41) · 1,013,377 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 17 · 30 · 34 · 51 · 85 · 102 · 170 · 255 · 510 · 1987 · 3974 · 5961 · 9935 · 11922 · 19870 · 29805 · 33779 · 59610 · 67558 · 101337 · 168895 · 202674 · 337790 · 506685 (half) · 1013370

Aliquot sum (sum of proper divisors): 1,563,078

Factor pairs (a × b = 1,013,370)

1 × 1013370

2 × 506685

3 × 337790

5 × 202674

6 × 168895

10 × 101337

15 × 67558

17 × 59610

30 × 33779

34 × 29805

51 × 19870

85 × 11922

102 × 9935

170 × 5961

255 × 3974

510 × 1987

First multiples

1,013,370 · 2,026,740 (double) · 3,040,110 · 4,053,480 · 5,066,850 · 6,080,220 · 7,093,590 · 8,106,960 · 9,120,330 · 10,133,700

Sums & aliquot sequence

As consecutive integers: 337,789 + 337,790 + 337,791 253,341 + 253,342 + 253,343 + 253,344 202,672 + 202,673 + 202,674 + 202,675 + 202,676 84,442 + 84,443 + … + 84,453

Aliquot sequence: 1,013,370 → 1,563,078 → 1,874,706 → 1,874,718 → 2,337,282 → 2,856,798 → 4,612,482 → 6,809,214 → 7,722,402 → 7,722,414 → 11,566,674 → 17,786,286 → 26,256,258 → 41,623,902 → 50,873,778 → 62,612,622 → 82,723,698 — unresolved within range

Continued fraction of √n

√1,013,370 = [1006; (1, 1, 1, 28, 10, 1, 1, 40, 1, 1, 3, 2, 1, 2, 8, 18, 1, 6, 1, 18, 8, 2, 1, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand three hundred seventy
Ordinal: 1013370th
Binary: 11110111011001111010
Octal: 3673172
Hexadecimal: 0xF767A
Base64: D3Z6
One's complement: 4,293,953,925 (32-bit)
Scientific notation: 1.01337 × 10⁶
As a duration: 1,013,370 s = 11 days, 17 hours, 29 minutes, 30 seconds

In other bases

ternary (3) 1220111002020

quaternary (4) 3313121322

quinary (5) 224411440

senary (6) 33415310

septenary (7) 11420301

nonary (9) 1814066

undecimal (11) 6323a6

duodecimal (12) 40a536

tridecimal (13) 296337

tetradecimal (14) 1c5438

pentadecimal (15) 1503d0

As an angle

1,013,370° = 2,814 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千三百七十
Chinese (financial): 壹佰零壹萬參仟參佰柒拾

In other modern scripts

Eastern Arabic ١٠١٣٣٧٠ Devanagari १०१३३७० Bengali ১০১৩৩৭০ Tamil ௧௦௧௩௩௭௦ Thai ๑๐๑๓๓๗๐ Tibetan ༡༠༡༣༣༧༠ Khmer ១០១៣៣៧០ Lao ໑໐໑໓໓໗໐ Burmese ၁၀၁၃၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013370, here are decompositions:

41 + 1013329 = 1013370
79 + 1013291 = 1013370
103 + 1013267 = 1013370
107 + 1013263 = 1013370
131 + 1013239 = 1013370
167 + 1013203 = 1013370
173 + 1013197 = 1013370
227 + 1013143 = 1013370

Showing the first eight; more decompositions exist.

Hex color

#0F767A

RGB(15, 118, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.122.

Address: 0.15.118.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.122

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3370 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3370-10-01 (MMDYYYY (US, single-digit day))
3370-01-10 (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 1,013,370 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 US1,013,370 on Google Patents ↗ Look up on USPTO ↗