Live analysis

1,013,502

1,013,502 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.).

1,013,502 (one million thirteen thousand five hundred two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 59 × 409. Its proper divisors sum to 1,348,098, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76FE.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,490 1,013,491 1,013,492 1,013,493 1,013,494 1,013,495 1,013,496 1,013,497 1,013,498 1,013,499 1,013,500 1,013,501 1,013,502 1,013,503 1,013,504 1,013,505 1,013,506 1,013,507 1,013,508 1,013,509 1,013,510 1,013,511 1,013,512 1,013,513 1,013,514

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,053,101
Square (n²): 1,027,186,304,004
Cube (n³): 1,041,055,373,480,662,008
Divisor count: 32
σ(n) — sum of divisors: 2,361,600
φ(n) — Euler's totient: 283,968
Sum of prime factors: 480

Primality

Prime factorization: 2 × 3 × 7 × 59 × 409

Nearest primes: 1,013,501 (−1) · 1,013,503 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 59 · 118 · 177 · 354 · 409 · 413 · 818 · 826 · 1227 · 1239 · 2454 · 2478 · 2863 · 5726 · 8589 · 17178 · 24131 · 48262 · 72393 · 144786 · 168917 · 337834 · 506751 (half) · 1013502

Aliquot sum (sum of proper divisors): 1,348,098

Factor pairs (a × b = 1,013,502)

1 × 1013502

2 × 506751

3 × 337834

6 × 168917

7 × 144786

14 × 72393

21 × 48262

42 × 24131

59 × 17178

118 × 8589

177 × 5726

354 × 2863

409 × 2478

413 × 2454

818 × 1239

826 × 1227

First multiples

1,013,502 · 2,027,004 (double) · 3,040,506 · 4,054,008 · 5,067,510 · 6,081,012 · 7,094,514 · 8,108,016 · 9,121,518 · 10,135,020

Sums & aliquot sequence

As consecutive integers: 337,833 + 337,834 + 337,835 253,374 + 253,375 + 253,376 + 253,377 144,783 + 144,784 + … + 144,789 84,453 + 84,454 + … + 84,464

Aliquot sequence: 1,013,502 → 1,348,098 → 1,348,110 → 2,247,570 → 4,474,782 → 6,030,882 → 10,056,798 → 12,541,050 → 23,475,060 → 60,670,092 → 101,543,540 → 148,760,332 → 148,760,388 → 300,569,724 → 737,085,636 → 1,558,090,044 → 3,121,164,900 — unresolved within range

Continued fraction of √n

√1,013,502 = [1006; (1, 2, 1, 2, 7, 4, 1, 6, 6, 5, 2, 2, 2, 3, 4, 2, 3, 3, 1, 2, 1, 11, 1, 1, …)]

Representations

In words: one million thirteen thousand five hundred two
Ordinal: 1013502nd
Binary: 11110111011011111110
Octal: 3673376
Hexadecimal: 0xF76FE
Base64: D3b+
One's complement: 4,293,953,793 (32-bit)
Scientific notation: 1.013502 × 10⁶
As a duration: 1,013,502 s = 11 days, 17 hours, 31 minutes, 42 seconds

In other bases

ternary (3) 1220111021010

quaternary (4) 3313123332

quinary (5) 224413002

senary (6) 33420050

septenary (7) 11420550

nonary (9) 1814233

undecimal (11) 632506

duodecimal (12) 40a626

tridecimal (13) 296409

tetradecimal (14) 1c54d0

pentadecimal (15) 15046c

As an angle

1,013,502° = 2,815 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Chinese: 一百零一萬三千五百零二
Chinese (financial): 壹佰零壹萬參仟伍佰零貳

In other modern scripts

Eastern Arabic ١٠١٣٥٠٢ Devanagari १०१३५०२ Bengali ১০১৩৫০২ Tamil ௧௦௧௩௫௦௨ Thai ๑๐๑๓๕๐๒ Tibetan ༡༠༡༣༥༠༢ Khmer ១០១៣៥០២ Lao ໑໐໑໓໕໐໒ Burmese ၁၀၁၃၅၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013502, here are decompositions:

31 + 1013471 = 1013502
71 + 1013431 = 1013502
73 + 1013429 = 1013502
101 + 1013401 = 1013502
103 + 1013399 = 1013502
173 + 1013329 = 1013502
181 + 1013321 = 1013502
211 + 1013291 = 1013502

Showing the first eight; more decompositions exist.

Hex color

#0F76FE

RGB(15, 118, 254)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.254.

Address: 0.15.118.254
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.254

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3502 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3502-10-01 (MMDYYYY (US, single-digit day))
3502-01-10 (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 1,013,502 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 US1,013,502 on Google Patents ↗ Look up on USPTO ↗