Live analysis

1,037,142

1,037,142 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.).

1,037,142 (one million thirty-seven thousand one hundred forty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 157 × 367. Its proper divisors sum to 1,230,474, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFD356.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,037,130 1,037,131 1,037,132 1,037,133 1,037,134 1,037,135 1,037,136 1,037,137 1,037,138 1,037,139 1,037,140 1,037,141 1,037,142 1,037,143 1,037,144 1,037,145 1,037,146 1,037,147 1,037,148 1,037,149 1,037,150 1,037,151 1,037,152 1,037,153 1,037,154

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,417,301
Square (n²): 1,075,663,528,164
Cube (n³): 1,115,615,822,927,067,288
Divisor count: 24
σ(n) — sum of divisors: 2,267,616
φ(n) — Euler's totient: 342,576
Sum of prime factors: 532

Primality

Prime factorization: 2 × 3 ² × 157 × 367

Nearest primes: 1,037,137 (−5) · 1,037,143 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 157 · 314 · 367 · 471 · 734 · 942 · 1101 · 1413 · 2202 · 2826 · 3303 · 6606 · 57619 · 115238 · 172857 · 345714 · 518571 (half) · 1037142

Aliquot sum (sum of proper divisors): 1,230,474

Factor pairs (a × b = 1,037,142)

1 × 1037142

2 × 518571

3 × 345714

6 × 172857

9 × 115238

18 × 57619

157 × 6606

314 × 3303

367 × 2826

471 × 2202

734 × 1413

942 × 1101

First multiples

1,037,142 · 2,074,284 (double) · 3,111,426 · 4,148,568 · 5,185,710 · 6,222,852 · 7,259,994 · 8,297,136 · 9,334,278 · 10,371,420

Sums & aliquot sequence

As consecutive integers: 345,713 + 345,714 + 345,715 259,284 + 259,285 + 259,286 + 259,287 115,234 + 115,235 + … + 115,242 86,423 + 86,424 + … + 86,434

Aliquot sequence: 1,037,142 → 1,230,474 → 1,582,134 → 1,594,554 → 1,840,038 → 1,891,338 → 1,891,350 → 3,375,054 → 4,125,186 → 6,267,378 → 7,945,422 → 7,973,250 → 11,929,854 → 12,736,266 → 12,736,278 → 16,797,402 → 20,743,398 — unresolved within range

Continued fraction of √n

√1,037,142 = [1018; (2, 2, 23, 3, 1, 1, 9, 1, 3, 3, 8, 4, 1, 1, 1, 5, 1, 6, 2, 1, 7, 16, 28, 1, …)]

Representations

In words: one million thirty-seven thousand one hundred forty-two
Ordinal: 1037142nd
Binary: 11111101001101010110
Octal: 3751526
Hexadecimal: 0xFD356
Base64: D9NW
One's complement: 4,293,930,153 (32-bit)
Scientific notation: 1.037142 × 10⁶
As a duration: 1,037,142 s = 12 days, 5 minutes, 42 seconds

In other bases

ternary (3) 1221200200200

quaternary (4) 3331031112

quinary (5) 231142032

senary (6) 34121330

septenary (7) 11546511

nonary (9) 1850620

undecimal (11) 649247

duodecimal (12) 420246

tridecimal (13) 2a40c2

tetradecimal (14) 1cdd78

pentadecimal (15) 15747c

As an angle

1,037,142° = 2,880 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零三萬七千一百四十二
Chinese (financial): 壹佰零參萬柒仟壹佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٣٧١٤٢ Devanagari १०३७१४२ Bengali ১০৩৭১৪২ Tamil ௧௦௩௭௧௪௨ Thai ๑๐๓๗๑๔๒ Tibetan ༡༠༣༧༡༤༢ Khmer ១០៣៧១៤២ Lao ໑໐໓໗໑໔໒ Burmese ၁၀၃၇၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1037142, here are decompositions:

5 + 1037137 = 1037142
13 + 1037129 = 1037142
19 + 1037123 = 1037142
53 + 1037089 = 1037142
61 + 1037081 = 1037142
83 + 1037059 = 1037142
89 + 1037053 = 1037142
101 + 1037041 = 1037142

Showing the first eight; more decompositions exist.

Hex color

#0FD356

RGB(15, 211, 86)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.211.86.

Address: 0.15.211.86
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.211.86

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 3, 7142 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7142-03-01 (DMMYYYY (Euro, single-digit day))
7142-10-03 (MMDYYYY (US, single-digit day))
7142-03-10 (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 1,037,142 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,037,142 on Google Patents ↗ Look up on USPTO ↗