Live analysis

107,142

107,142 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.).

107,142 (one hundred seven thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 2,551. Its proper divisors sum to 137,850, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A286.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

107,130 107,131 107,132 107,133 107,134 107,135 107,136 107,137 107,138 107,139 107,140 107,141 107,142 107,143 107,144 107,145 107,146 107,147 107,148 107,149 107,150 107,151 107,152 107,153 107,154

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 241,701
Recamán's sequence: a(82,339) = 107,142
Square (n²): 11,479,408,164
Cube (n³): 1,229,926,749,507,288
Divisor count: 16
σ(n) — sum of divisors: 244,992
φ(n) — Euler's totient: 30,600
Sum of prime factors: 2,563

Primality

Prime factorization: 2 × 3 × 7 × 2551

Nearest primes: 107,137 (−5) · 107,171 (+29)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 2551 · 5102 · 7653 · 15306 · 17857 · 35714 · 53571 (half) · 107142

Aliquot sum (sum of proper divisors): 137,850

Factor pairs (a × b = 107,142)

1 × 107142

2 × 53571

3 × 35714

6 × 17857

7 × 15306

14 × 7653

21 × 5102

42 × 2551

First multiples

107,142 · 214,284 (double) · 321,426 · 428,568 · 535,710 · 642,852 · 749,994 · 857,136 · 964,278 · 1,071,420

Sums & aliquot sequence

As consecutive integers: 35,713 + 35,714 + 35,715 26,784 + 26,785 + 26,786 + 26,787 15,303 + 15,304 + … + 15,309 8,923 + 8,924 + … + 8,934

Aliquot sequence: 107,142 → 137,850 → 204,390 → 341,370 → 546,426 → 678,336 → 1,116,936 → 1,986,264 → 4,282,596 → 6,605,736 → 10,479,864 → 15,815,256 → 23,722,944 → 51,867,456 → 85,365,696 → 168,618,048 → 278,877,120 — unresolved within range

Continued fraction of √n

√107,142 = [327; (3, 13, 1, 8, 1, 5, 3, 1, 1, 1, 1, 2, 7, 7, 17, 11, 2, 2, 1, 10, 1, 1, 2, 1, …)]

Representations

In words: one hundred seven thousand one hundred forty-two
Ordinal: 107142nd
Binary: 11010001010000110
Octal: 321206
Hexadecimal: 0x1A286
Base64: AaKG
One's complement: 4,294,860,153 (32-bit)
Scientific notation: 1.07142 × 10⁵
As a duration: 107,142 s = 1 day, 5 hours, 45 minutes, 42 seconds

In other bases

ternary (3) 12102222020

quaternary (4) 122022012

quinary (5) 11412032

senary (6) 2144010

septenary (7) 624240

nonary (9) 172866

undecimal (11) 73552

duodecimal (12) 52006

tridecimal (13) 399c9

tetradecimal (14) 2b090

pentadecimal (15) 21b2c

As an angle

107,142° = 297 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρζρμβʹ
Mayan (base 20): 𝋭·𝋧·𝋱·𝋢
Chinese: 十萬七千一百四十二
Chinese (financial): 壹拾萬柒仟壹佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٧١٤٢ Devanagari १०७१४२ Bengali ১০৭১৪২ Tamil ௧௦௭௧௪௨ Thai ๑๐๗๑๔๒ Tibetan ༡༠༧༡༤༢ Khmer ១០៧១៤២ Lao ໑໐໗໑໔໒ Burmese ၁၀၇၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107142, here are decompositions:

5 + 107137 = 107142
19 + 107123 = 107142
23 + 107119 = 107142
41 + 107101 = 107142
43 + 107099 = 107142
53 + 107089 = 107142
71 + 107071 = 107142
73 + 107069 = 107142

Showing the first eight; more decompositions exist.

Hex color

#01A286

RGB(1, 162, 134)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.134.

Address: 0.1.162.134
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.162.134

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

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 107,142 and was likely granted around 1870.

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

Look up US107,142 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 107142 first appears in π at position 132,062 of the decimal expansion (the 132,062ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 107142 on Pi Search ↗