Live analysis

1,013,142

1,013,142 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.).

1,013,142 (one million thirteen thousand one hundred forty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 31 × 419. Its proper divisors sum to 1,244,778, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7596.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,130 1,013,131 1,013,132 1,013,133 1,013,134 1,013,135 1,013,136 1,013,137 1,013,138 1,013,139 1,013,140 1,013,141 1,013,142 1,013,143 1,013,144 1,013,145 1,013,146 1,013,147 1,013,148 1,013,149 1,013,150 1,013,151 1,013,152 1,013,153 1,013,154

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,413,101
Square (n²): 1,026,456,712,164
Cube (n³): 1,039,946,406,275,259,288
Divisor count: 32
σ(n) — sum of divisors: 2,257,920
φ(n) — Euler's totient: 300,960
Sum of prime factors: 468

Primality

Prime factorization: 2 × 3 × 13 × 31 × 419

Nearest primes: 1,013,063 (−79) · 1,013,143 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 26 · 31 · 39 · 62 · 78 · 93 · 186 · 403 · 419 · 806 · 838 · 1209 · 1257 · 2418 · 2514 · 5447 · 10894 · 12989 · 16341 · 25978 · 32682 · 38967 · 77934 · 168857 · 337714 · 506571 (half) · 1013142

Aliquot sum (sum of proper divisors): 1,244,778

Factor pairs (a × b = 1,013,142)

1 × 1013142

2 × 506571

3 × 337714

6 × 168857

13 × 77934

26 × 38967

31 × 32682

39 × 25978

62 × 16341

78 × 12989

93 × 10894

186 × 5447

403 × 2514

419 × 2418

806 × 1257

838 × 1209

First multiples

1,013,142 · 2,026,284 (double) · 3,039,426 · 4,052,568 · 5,065,710 · 6,078,852 · 7,091,994 · 8,105,136 · 9,118,278 · 10,131,420

Sums & aliquot sequence

As consecutive integers: 337,713 + 337,714 + 337,715 253,284 + 253,285 + 253,286 + 253,287 84,423 + 84,424 + … + 84,434 77,928 + 77,929 + … + 77,940

Aliquot sequence: 1,013,142 → 1,244,778 → 1,244,790 → 1,991,898 → 2,434,662 → 2,970,738 → 3,465,900 → 7,400,592 → 14,463,088 → 13,851,072 → 26,367,288 → 44,394,312 → 68,158,968 → 102,238,512 → 164,314,368 → 309,451,106 → 164,383,774 — unresolved within range

Continued fraction of √n

√1,013,142 = [1006; (1, 1, 4, 1, 1, 5, 37, 1, 4, 13, 1, 40, 6, 2, 25, 1, 2, 6, 1, 2, 2, 1, 7, 2, …)]

Representations

In words: one million thirteen thousand one hundred forty-two
Ordinal: 1013142nd
Binary: 11110111010110010110
Octal: 3672626
Hexadecimal: 0xF7596
Base64: D3WW
One's complement: 4,293,954,153 (32-bit)
Scientific notation: 1.013142 × 10⁶
As a duration: 1,013,142 s = 11 days, 17 hours, 25 minutes, 42 seconds

In other bases

ternary (3) 1220110202210

quaternary (4) 3313112112

quinary (5) 224410032

senary (6) 33414250

septenary (7) 11416524

nonary (9) 1813683

undecimal (11) 632209

duodecimal (12) 40a386

tridecimal (13) 2961c0

tetradecimal (14) 1c5314

pentadecimal (15) 1502cc

As an angle

1,013,142° = 2,814 × 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 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千一百四十二
Chinese (financial): 壹佰零壹萬參仟壹佰肆拾貳

In other modern scripts

Eastern Arabic ١٠١٣١٤٢ Devanagari १०१३१४२ Bengali ১০১৩১৪২ Tamil ௧௦௧௩௧௪௨ Thai ๑๐๑๓๑๔๒ Tibetan ༡༠༡༣༡༤༢ Khmer ១០១៣១៤២ Lao ໑໐໑໓໑໔໒ Burmese ၁၀၁၃၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013142, here are decompositions:

79 + 1013063 = 1013142
89 + 1013053 = 1013142
101 + 1013041 = 1013142
113 + 1013029 = 1013142
139 + 1013003 = 1013142
149 + 1012993 = 1013142
211 + 1012931 = 1013142
223 + 1012919 = 1013142

Showing the first eight; more decompositions exist.

Hex color

#0F7596

RGB(15, 117, 150)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.150.

Address: 0.15.117.150
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.150

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3142 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3142-10-01 (MMDYYYY (US, single-digit day))
3142-01-10 (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 1,013,142 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 US1,013,142 on Google Patents ↗ Look up on USPTO ↗