Live analysis

1,013,478

1,013,478 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.).

1,013,478 (one million thirteen thousand four hundred seventy-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 168,913. Its proper divisors sum to 1,013,490, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76E6.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,466 1,013,467 1,013,468 1,013,469 1,013,470 1,013,471 1,013,472 1,013,473 1,013,474 1,013,475 1,013,476 1,013,477 1,013,478 1,013,479 1,013,480 1,013,481 1,013,482 1,013,483 1,013,484 1,013,485 1,013,486 1,013,487 1,013,488 1,013,489 1,013,490

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,743,101
Square (n²): 1,027,137,656,484
Cube (n³): 1,040,981,417,818,091,352
Divisor count: 8
σ(n) — sum of divisors: 2,026,968
φ(n) — Euler's totient: 337,824
Sum of prime factors: 168,918

Primality

Prime factorization: 2 × 3 × 168913

Nearest primes: 1,013,477 (−1) · 1,013,501 (+23)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 168913 · 337826 · 506739 (half) · 1013478

Aliquot sum (sum of proper divisors): 1,013,490

Factor pairs (a × b = 1,013,478)

1 × 1013478

2 × 506739

3 × 337826

6 × 168913

First multiples

1,013,478 · 2,026,956 (double) · 3,040,434 · 4,053,912 · 5,067,390 · 6,080,868 · 7,094,346 · 8,107,824 · 9,121,302 · 10,134,780

Sums & aliquot sequence

As consecutive integers: 337,825 + 337,826 + 337,827 253,368 + 253,369 + 253,370 + 253,371 84,451 + 84,452 + … + 84,462

Aliquot sequence: 1,013,478 → 1,013,490 → 1,621,818 → 2,212,038 → 2,580,750 → 4,817,394 → 6,107,454 → 8,265,186 → 10,102,014 → 14,507,298 → 21,463,182 → 30,775,914 → 42,992,118 → 57,843,162 → 77,124,762 → 132,565,446 → 177,750,378 — unresolved within range

Continued fraction of √n

√1,013,478 = [1006; (1, 2, 1, 1, 8, 1, 7, 2, 2, 1, 4, 4, 3, 1, 28, 2, 2, 2, 13, 1, 6, 3, 4, 1, …)]

Representations

In words: one million thirteen thousand four hundred seventy-eight
Ordinal: 1013478th
Binary: 11110111011011100110
Octal: 3673346
Hexadecimal: 0xF76E6
Base64: D3bm
One's complement: 4,293,953,817 (32-bit)
Scientific notation: 1.013478 × 10⁶
As a duration: 1,013,478 s = 11 days, 17 hours, 31 minutes, 18 seconds

In other bases

ternary (3) 1220111020020

quaternary (4) 3313123212

quinary (5) 224412403

senary (6) 33420010

septenary (7) 11420514

nonary (9) 1814206

undecimal (11) 632494

duodecimal (12) 40a606

tridecimal (13) 2963bb

tetradecimal (14) 1c54b4

pentadecimal (15) 150453

As an angle

1,013,478° = 2,815 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百七十八
Chinese (financial): 壹佰零壹萬參仟肆佰柒拾捌

In other modern scripts

Eastern Arabic ١٠١٣٤٧٨ Devanagari १०१३४७८ Bengali ১০১৩৪৭৮ Tamil ௧௦௧௩௪௭௮ Thai ๑๐๑๓๔๗๘ Tibetan ༡༠༡༣༤༧༨ Khmer ១០១៣៤៧៨ Lao ໑໐໑໓໔໗໘ Burmese ၁၀၁၃၄၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013478, here are decompositions:

7 + 1013471 = 1013478
47 + 1013431 = 1013478
79 + 1013399 = 1013478
101 + 1013377 = 1013478
149 + 1013329 = 1013478
157 + 1013321 = 1013478
199 + 1013279 = 1013478
211 + 1013267 = 1013478

Showing the first eight; more decompositions exist.

Hex color

#0F76E6

RGB(15, 118, 230)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.230.

Address: 0.15.118.230
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.230

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3478 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3478-10-01 (MMDYYYY (US, single-digit day))
3478-01-10 (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 1,013,478 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 US1,013,478 on Google Patents ↗ Look up on USPTO ↗