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77,142

77,142 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.).

77,142 (seventy-seven thousand one hundred forty-two) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 23 × 43. Its proper divisors sum to 100,266, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x12D56.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Semiperfect Number Smith Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
392
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
24,177
Square (n²)
5,950,888,164
Cube (n³)
459,063,414,747,288
Divisor count
32
σ(n) — sum of divisors
177,408
φ(n) — Euler's totient
22,176
Sum of prime factors
84

Primality

Prime factorization: 2 × 3 × 13 × 23 × 43

Nearest primes: 77,141 (−1) · 77,153 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 13 · 23 · 26 · 39 · 43 · 46 · 69 · 78 · 86 · 129 · 138 · 258 · 299 · 559 · 598 · 897 · 989 · 1118 · 1677 · 1794 · 1978 · 2967 · 3354 · 5934 · 12857 · 25714 · 38571 (half) · 77142
Aliquot sum (sum of proper divisors): 100,266
Factor pairs (a × b = 77,142)
1 × 77142
2 × 38571
3 × 25714
6 × 12857
13 × 5934
23 × 3354
26 × 2967
39 × 1978
43 × 1794
46 × 1677
69 × 1118
78 × 989
86 × 897
129 × 598
138 × 559
258 × 299
First multiples
77,142 · 154,284 (double) · 231,426 · 308,568 · 385,710 · 462,852 · 539,994 · 617,136 · 694,278 · 771,420

Sums & aliquot sequence

As consecutive integers: 25,713 + 25,714 + 25,715 19,284 + 19,285 + 19,286 + 19,287 6,423 + 6,424 + … + 6,434 5,928 + 5,929 + … + 5,940
Aliquot sequence: 77,142 100,266 112,278 112,290 172,830 301,794 307,326 376,962 376,974 537,786 712,134 830,862 1,028,658 1,042,638 1,042,650 2,168,454 2,168,466 — unresolved within range

Continued fraction of √n

√77,142 = [277; (1, 2, 1, 10, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 6, 1, 1, 3, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
seventy-seven thousand one hundred forty-two
Ordinal
77142nd
Binary
10010110101010110
Octal
226526
Hexadecimal
0x12D56
Base64
AS1W
One's complement
4,294,890,153 (32-bit)
Scientific notation
7.7142 × 10⁴
As a duration
77,142 s = 21 hours, 25 minutes, 42 seconds
In other bases
ternary (3) 10220211010
quaternary (4) 102311112
quinary (5) 4432032
senary (6) 1353050
septenary (7) 440622
nonary (9) 126733
undecimal (11) 52a5a
duodecimal (12) 38786
tridecimal (13) 29160
tetradecimal (14) 20182
pentadecimal (15) 17ccc

As an angle

77,142° = 214 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵οζρμβʹ
Mayan (base 20)
𝋩·𝋬·𝋱·𝋢
Chinese
七萬七千一百四十二
Chinese (financial)
柒萬柒仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ٧٧١٤٢ Devanagari ७७१४२ Bengali ৭৭১৪২ Tamil ௭௭௧௪௨ Thai ๗๗๑๔๒ Tibetan ༧༧༡༤༢ Khmer ៧៧១៤២ Lao ໗໗໑໔໒ Burmese ၇၇၁၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 77,142 = 2
e — Euler's number (e)
Digit 77,142 = 5
φ — Golden ratio (φ)
Digit 77,142 = 5
√2 — Pythagoras's (√2)
Digit 77,142 = 1
ln 2 — Natural log of 2
Digit 77,142 = 4
γ — Euler-Mascheroni (γ)
Digit 77,142 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 77142, here are decompositions:

  • 5 + 77137 = 77142
  • 41 + 77101 = 77142
  • 61 + 77081 = 77142
  • 73 + 77069 = 77142
  • 101 + 77041 = 77142
  • 113 + 77029 = 77142
  • 139 + 77003 = 77142
  • 151 + 76991 = 77142

Showing the first eight; more decompositions exist.

Hex color
#012D56
RGB(1, 45, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.45.86.

Address
0.1.45.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.45.86

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

Position in π

The digit sequence 77142 first appears in π at position 58,338 of the decimal expansion (the 58,338ordinal-suffix:th 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.