Live analysis

1,013,504

1,013,504 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.).

1,013,504 (one million thirteen thousand five hundred four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 37 × 107. Its proper divisors sum to 1,083,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7700.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 1,013,515 1,013,516

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,053,101
Square (n²): 1,027,190,358,016
Cube (n³): 1,041,061,536,610,648,064
Divisor count: 36
σ(n) — sum of divisors: 2,097,144
φ(n) — Euler's totient: 488,448
Sum of prime factors: 160

Primality

Prime factorization: 2 ⁸ × 37 × 107

Nearest primes: 1,013,503 (−1) · 1,013,527 (+23)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 8 · 16 · 32 · 37 · 64 · 74 · 107 · 128 · 148 · 214 · 256 · 296 · 428 · 592 · 856 · 1184 · 1712 · 2368 · 3424 · 3959 · 4736 · 6848 · 7918 · 9472 · 13696 · 15836 · 27392 · 31672 · 63344 · 126688 · 253376 · 506752 (half) · 1013504

Aliquot sum (sum of proper divisors): 1,083,640

Factor pairs (a × b = 1,013,504)

1 × 1013504

2 × 506752

4 × 253376

8 × 126688

16 × 63344

32 × 31672

37 × 27392

64 × 15836

74 × 13696

107 × 9472

128 × 7918

148 × 6848

214 × 4736

256 × 3959

296 × 3424

428 × 2368

592 × 1712

856 × 1184

First multiples

1,013,504 · 2,027,008 (double) · 3,040,512 · 4,054,016 · 5,067,520 · 6,081,024 · 7,094,528 · 8,108,032 · 9,121,536 · 10,135,040

Sums & aliquot sequence

As consecutive integers: 27,374 + 27,375 + … + 27,410 9,419 + 9,420 + … + 9,525 1,724 + 1,725 + … + 2,235

Aliquot sequence: 1,013,504 → 1,083,640 → 1,354,640 → 2,395,120 → 4,729,424 → 5,743,120 → 7,609,820 → 8,644,180 → 9,741,740 → 10,918,900 → 12,978,008 → 11,399,272 → 10,337,528 → 9,264,472 → 10,588,088 → 12,428,872 → 11,258,228 — unresolved within range

Continued fraction of √n

√1,013,504 = [1006; (1, 2, 1, 2, 3, 1, 1, 2, 287, 4, 20, 1, 17, 41, 28, 2, 1, 125, 5, 1, 6, 3, 1, 9, …)]

Representations

In words: one million thirteen thousand five hundred four
Ordinal: 1013504th
Binary: 11110111011100000000
Octal: 3673400
Hexadecimal: 0xF7700
Base64: D3cA
One's complement: 4,293,953,791 (32-bit)
Scientific notation: 1.013504 × 10⁶
As a duration: 1,013,504 s = 11 days, 17 hours, 31 minutes, 44 seconds

In other bases

ternary (3) 1220111021012

quaternary (4) 3313130000

quinary (5) 224413004

senary (6) 33420052

septenary (7) 11420552

nonary (9) 1814235

undecimal (11) 632508

duodecimal (12) 40a628

tridecimal (13) 29640b

tetradecimal (14) 1c54d2

pentadecimal (15) 15046e

As an angle

1,013,504° = 2,815 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千五百零四
Chinese (financial): 壹佰零壹萬參仟伍佰零肆

In other modern scripts

Eastern Arabic ١٠١٣٥٠٤ Devanagari १०१३५०४ Bengali ১০১৩৫০৪ Tamil ௧௦௧௩௫௦௪ Thai ๑๐๑๓๕๐๔ Tibetan ༡༠༡༣༥༠༤ Khmer ១០១៣៥០៤ Lao ໑໐໑໓໕໐໔ Burmese ၁၀၁၃၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013504, here are decompositions:

3 + 1013501 = 1013504
73 + 1013431 = 1013504
103 + 1013401 = 1013504
127 + 1013377 = 1013504
241 + 1013263 = 1013504
277 + 1013227 = 1013504
307 + 1013197 = 1013504
463 + 1013041 = 1013504

Showing the first eight; more decompositions exist.

Hex color

#0F7700

RGB(15, 119, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.0.

Address: 0.15.119.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3504 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3504-10-01 (MMDYYYY (US, single-digit day))
3504-01-10 (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 1,013,504 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 US1,013,504 on Google Patents ↗ Look up on USPTO ↗