Live analysis

1,013,104

1,013,104 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.).

1,013,104 (one million thirteen thousand one hundred four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 2,753. Its proper divisors sum to 1,035,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7570.

Abundant Number Evil Number Happy Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,092 1,013,093 1,013,094 1,013,095 1,013,096 1,013,097 1,013,098 1,013,099 1,013,100 1,013,101 1,013,102 1,013,103 1,013,104 1,013,105 1,013,106 1,013,107 1,013,108 1,013,109 1,013,110 1,013,111 1,013,112 1,013,113 1,013,114 1,013,115 1,013,116

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Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,013,101
Square (n²): 1,026,379,714,816
Cube (n³): 1,039,829,394,598,948,864
Divisor count: 20
σ(n) — sum of divisors: 2,048,976
φ(n) — Euler's totient: 484,352
Sum of prime factors: 2,784

Primality

Prime factorization: 2 ⁴ × 23 × 2753

Nearest primes: 1,013,063 (−41) · 1,013,143 (+39)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 368 · 2753 · 5506 · 11012 · 22024 · 44048 · 63319 · 126638 · 253276 · 506552 (half) · 1013104

Aliquot sum (sum of proper divisors): 1,035,872

Factor pairs (a × b = 1,013,104)

1 × 1013104

2 × 506552

4 × 253276

8 × 126638

16 × 63319

23 × 44048

46 × 22024

92 × 11012

184 × 5506

368 × 2753

First multiples

1,013,104 · 2,026,208 (double) · 3,039,312 · 4,052,416 · 5,065,520 · 6,078,624 · 7,091,728 · 8,104,832 · 9,117,936 · 10,131,040

Sums & aliquot sequence

As consecutive integers: 44,037 + 44,038 + … + 44,059 31,644 + 31,645 + … + 31,675 1,009 + 1,010 + … + 1,744

Aliquot sequence: 1,013,104 → 1,035,872 → 1,003,564 → 773,036 → 702,844 → 602,516 → 521,068 → 390,808 → 408,752 → 398,488 → 348,692 → 266,188 → 235,572 → 324,204 → 432,300 → 942,612 → 1,534,380 — unresolved within range

Continued fraction of √n

√1,013,104 = [1006; (1, 1, 7, 1, 1, 1, 5, 1, 31, 9, 1, 1, 1, 4, 1, 11, 1, 2, 7, 1, 4, 4, 1, 11, …)]

Representations

In words: one million thirteen thousand one hundred four
Ordinal: 1013104th
Binary: 11110111010101110000
Octal: 3672560
Hexadecimal: 0xF7570
Base64: D3Vw
One's complement: 4,293,954,191 (32-bit)
Scientific notation: 1.013104 × 10⁶
As a duration: 1,013,104 s = 11 days, 17 hours, 25 minutes, 4 seconds

In other bases

ternary (3) 1220110201101

quaternary (4) 3313111300

quinary (5) 224404404

senary (6) 33414144

septenary (7) 11416441

nonary (9) 1813641

undecimal (11) 632184

duodecimal (12) 40a354

tridecimal (13) 296191

tetradecimal (14) 1c52c8

pentadecimal (15) 1502a4

As an angle

1,013,104° = 2,814 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百零四
Chinese (financial): 壹佰零壹萬參仟壹佰零肆

In other modern scripts

Eastern Arabic ١٠١٣١٠٤ Devanagari १०१३१०४ Bengali ১০১৩১০৪ Tamil ௧௦௧௩௧௦௪ Thai ๑๐๑๓๑๐๔ Tibetan ༡༠༡༣༡༠༤ Khmer ១០១៣១០៤ Lao ໑໐໑໓໑໐໔ Burmese ၁၀၁၃၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013104, here are decompositions:

41 + 1013063 = 1013104
101 + 1013003 = 1013104
107 + 1012997 = 1013104
137 + 1012967 = 1013104
173 + 1012931 = 1013104
293 + 1012811 = 1013104
353 + 1012751 = 1013104
383 + 1012721 = 1013104

Showing the first eight; more decompositions exist.

Hex color

#0F7570

RGB(15, 117, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.112.

Address: 0.15.117.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3104 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3104-10-01 (MMDYYYY (US, single-digit day))
3104-01-10 (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 1,013,104 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 US1,013,104 on Google Patents ↗ Look up on USPTO ↗