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42,372

42,372 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.).

42,372 (forty-two thousand three hundred seventy-two) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 107. Its proper divisors sum to 75,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA584.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
336
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
27,324
Recamán's sequence
a(150,879) = 42,372
Square (n²)
1,795,386,384
Cube (n³)
76,074,111,862,848
Divisor count
36
σ(n) — sum of divisors
117,936
φ(n) — Euler's totient
12,720
Sum of prime factors
128

Primality

Prime factorization: 2 2 × 3 2 × 11 × 107

Nearest primes: 42,359 (−13) · 42,373 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 107 · 132 · 198 · 214 · 321 · 396 · 428 · 642 · 963 · 1177 · 1284 · 1926 · 2354 · 3531 · 3852 · 4708 · 7062 · 10593 · 14124 · 21186 (half) · 42372
Aliquot sum (sum of proper divisors): 75,564
Factor pairs (a × b = 42,372)
1 × 42372
2 × 21186
3 × 14124
4 × 10593
6 × 7062
9 × 4708
11 × 3852
12 × 3531
18 × 2354
22 × 1926
33 × 1284
36 × 1177
44 × 963
66 × 642
99 × 428
107 × 396
132 × 321
198 × 214
First multiples
42,372 · 84,744 (double) · 127,116 · 169,488 · 211,860 · 254,232 · 296,604 · 338,976 · 381,348 · 423,720

Sums & aliquot sequence

As consecutive integers: 14,123 + 14,124 + 14,125 5,293 + 5,294 + … + 5,300 4,704 + 4,705 + … + 4,712 3,847 + 3,848 + … + 3,857
Aliquot sequence: 42,372 75,564 115,536 196,944 359,568 743,040 1,949,760 4,766,508 7,282,256 8,044,888 7,210,112 10,497,088 13,309,824 27,229,056 48,267,264 80,705,616 138,759,504 — unresolved within range

Continued fraction of √n

√42,372 = [205; (1, 5, 2, 3, 2, 1, 5, 1, 5, 4, 1, 10, 3, 8, 12, 1, 2, 1, 12, 8, 3, 10, 1, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand three hundred seventy-two
Ordinal
42372nd
Binary
1010010110000100
Octal
122604
Hexadecimal
0xA584
Base64
pYQ=
One's complement
23,163 (16-bit)
Scientific notation
4.2372 × 10⁴
As a duration
42,372 s = 11 hours, 46 minutes, 12 seconds
In other bases
ternary (3) 2011010100
quaternary (4) 22112010
quinary (5) 2323442
senary (6) 524100
septenary (7) 234351
nonary (9) 64110
undecimal (11) 29920
duodecimal (12) 20630
tridecimal (13) 16395
tetradecimal (14) 11628
pentadecimal (15) c84c

As an angle

42,372° = 117 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵μβτοβʹ
Mayan (base 20)
𝋥·𝋥·𝋲·𝋬
Chinese
四萬二千三百七十二
Chinese (financial)
肆萬貳仟參佰柒拾貳
In other modern scripts
Eastern Arabic ٤٢٣٧٢ Devanagari ४२३७२ Bengali ৪২৩৭২ Tamil ௪௨௩௭௨ Thai ๔๒๓๗๒ Tibetan ༤༢༣༧༢ Khmer ៤២៣៧២ Lao ໔໒໓໗໒ Burmese ၄၂၃၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 42,372 = 5
e — Euler's number (e)
Digit 42,372 = 6
φ — Golden ratio (φ)
Digit 42,372 = 6
√2 — Pythagoras's (√2)
Digit 42,372 = 0
ln 2 — Natural log of 2
Digit 42,372 = 3
γ — Euler-Mascheroni (γ)
Digit 42,372 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42372, here are decompositions:

  • 13 + 42359 = 42372
  • 23 + 42349 = 42372
  • 41 + 42331 = 42372
  • 73 + 42299 = 42372
  • 79 + 42293 = 42372
  • 89 + 42283 = 42372
  • 149 + 42223 = 42372
  • 151 + 42221 = 42372

Showing the first eight; more decompositions exist.

Unicode codepoint
Vai Syllable Roo
U+A584
Other letter (Lo)

UTF-8 encoding: EA 96 84 (3 bytes).

Hex color
#00A584
RGB(0, 165, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.165.132.

Address
0.0.165.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.165.132

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

Position in π

The digit sequence 42372 first appears in π at position 15,276 of the decimal expansion (the 15,276ordinal-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°.