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23,142

23,142 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.).
Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
48
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
24,132
Recamán's sequence
a(166,911) = 23,142
Square (n²)
535,552,164
Cube (n³)
12,393,748,179,288
Divisor count
32
σ(n) — sum of divisors
57,600
φ(n) — Euler's totient
6,048
Sum of prime factors
60

Primality

Prime factorization: 2 × 3 × 7 × 19 × 29

Nearest primes: 23,131 (−11) · 23,143 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 14 · 19 · 21 · 29 · 38 · 42 · 57 · 58 · 87 · 114 · 133 · 174 · 203 · 266 · 399 · 406 · 551 · 609 · 798 · 1102 · 1218 · 1653 · 3306 · 3857 · 7714 · 11571 (half) · 23142
Aliquot sum (sum of proper divisors): 34,458
Factor pairs (a × b = 23,142)
1 × 23142
2 × 11571
3 × 7714
6 × 3857
7 × 3306
14 × 1653
19 × 1218
21 × 1102
29 × 798
38 × 609
42 × 551
57 × 406
58 × 399
87 × 266
114 × 203
133 × 174
First multiples
23,142 · 46,284 (double) · 69,426 · 92,568 · 115,710 · 138,852 · 161,994 · 185,136 · 208,278 · 231,420

Sums & aliquot sequence

As consecutive integers: 7,713 + 7,714 + 7,715 5,784 + 5,785 + 5,786 + 5,787 3,303 + 3,304 + … + 3,309 1,923 + 1,924 + … + 1,934
Aliquot sequence: 23,142 34,458 34,470 55,386 72,378 84,480 210,144 394,656 641,568 1,094,208 1,892,832 3,076,104 4,733,016 7,170,984 12,749,016 25,459,224 48,583,776 — unresolved within range

Representations

In words
twenty-three thousand one hundred forty-two
Ordinal
23142nd
Binary
101101001100110
Octal
55146
Hexadecimal
0x5A66
Base64
WmY=
One's complement
42,393 (16-bit)
In other bases
ternary (3) 1011202010
quaternary (4) 11221212
quinary (5) 1220032
senary (6) 255050
septenary (7) 124320
nonary (9) 34663
undecimal (11) 16429
duodecimal (12) 11486
tridecimal (13) a6c2
tetradecimal (14) 8610
pentadecimal (15) 6ccc

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵κγρμβʹ
Mayan (base 20)
𝋢·𝋱·𝋱·𝋢
Chinese
二萬三千一百四十二
Chinese (financial)
貳萬參仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ٢٣١٤٢ Devanagari २३१४२ Bengali ২৩১৪২ Tamil ௨௩௧௪௨ Thai ๒๓๑๔๒ Tibetan ༢༣༡༤༢ Khmer ២៣១៤២ Lao ໒໓໑໔໒ Burmese ၂၃၁၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 23,142 = 4
e — Euler's number (e)
Digit 23,142 = 4
φ — Golden ratio (φ)
Digit 23,142 = 2
√2 — Pythagoras's (√2)
Digit 23,142 = 4
ln 2 — Natural log of 2
Digit 23,142 = 1
γ — Euler-Mascheroni (γ)
Digit 23,142 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 23142, here are decompositions:

  • 11 + 23131 = 23142
  • 43 + 23099 = 23142
  • 61 + 23081 = 23142
  • 71 + 23071 = 23142
  • 79 + 23063 = 23142
  • 83 + 23059 = 23142
  • 89 + 23053 = 23142
  • 101 + 23041 = 23142

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5A66
U+5A66
Other letter (Lo)

UTF-8 encoding: E5 A9 A6 (3 bytes).

Hex color
#005A66
RGB(0, 90, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.90.102.

Address
0.0.90.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.90.102

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000023142
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 23142 first appears in π at position 51,530 of the decimal expansion (the 51,530ordinal-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.