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53,332

53,332 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.).

53,332 (fifty-three thousand three hundred thirty-two) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 67 × 199. Written other ways, in hexadecimal, 0xD054.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
270
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
23,335
Recamán's sequence
a(294,788) = 53,332
Square (n²)
2,844,302,224
Cube (n³)
151,692,326,210,368
Divisor count
12
σ(n) — sum of divisors
95,200
φ(n) — Euler's totient
26,136
Sum of prime factors
270

Primality

Prime factorization: 2 2 × 67 × 199

Nearest primes: 53,327 (−5) · 53,353 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 67 · 134 · 199 · 268 · 398 · 796 · 13333 · 26666 (half) · 53332
Aliquot sum (sum of proper divisors): 41,868
Factor pairs (a × b = 53,332)
1 × 53332
2 × 26666
4 × 13333
67 × 796
134 × 398
199 × 268
First multiples
53,332 · 106,664 (double) · 159,996 · 213,328 · 266,660 · 319,992 · 373,324 · 426,656 · 479,988 · 533,320

Sums & aliquot sequence

As consecutive integers: 6,663 + 6,664 + … + 6,670 763 + 764 + … + 829 169 + 170 + … + 367
Aliquot sequence: 53,332 41,868 64,056 106,584 159,936 361,272 541,968 1,059,120 2,500,176 5,020,176 10,089,968 12,252,352 16,037,660 17,641,468 15,945,092 11,958,826 7,793,654 — unresolved within range

Continued fraction of √n

√53,332 = [230; (1, 14, 1, 13, 17, 28, 1, 4, 4, 2, 6, 2, 4, 4, 1, 28, 17, 13, 1, 14, 1, 460)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
fifty-three thousand three hundred thirty-two
Ordinal
53332nd
Binary
1101000001010100
Octal
150124
Hexadecimal
0xD054
Base64
0FQ=
One's complement
12,203 (16-bit)
Scientific notation
5.3332 × 10⁴
As a duration
53,332 s = 14 hours, 48 minutes, 52 seconds
In other bases
ternary (3) 2201011021
quaternary (4) 31001110
quinary (5) 3201312
senary (6) 1050524
septenary (7) 311326
nonary (9) 81137
undecimal (11) 37084
duodecimal (12) 26a44
tridecimal (13) 1b376
tetradecimal (14) 15616
pentadecimal (15) 10c07

As an angle

53,332° = 148 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵νγτλβʹ
Mayan (base 20)
𝋦·𝋭·𝋦·𝋬
Chinese
五萬三千三百三十二
Chinese (financial)
伍萬參仟參佰參拾貳
In other modern scripts
Eastern Arabic ٥٣٣٣٢ Devanagari ५३३३२ Bengali ৫৩৩৩২ Tamil ௫௩௩௩௨ Thai ๕๓๓๓๒ Tibetan ༥༣༣༣༢ Khmer ៥៣៣៣២ Lao ໕໓໓໓໒ Burmese ၅၃၃၃၂

Digit at this position in famous constants

π — Pi (π)
Digit 53,332 = 1
e — Euler's number (e)
Digit 53,332 = 1
φ — Golden ratio (φ)
Digit 53,332 = 7
√2 — Pythagoras's (√2)
Digit 53,332 = 9
ln 2 — Natural log of 2
Digit 53,332 = 0
γ — Euler-Mascheroni (γ)
Digit 53,332 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53332, here are decompositions:

  • 5 + 53327 = 53332
  • 23 + 53309 = 53332
  • 53 + 53279 = 53332
  • 101 + 53231 = 53332
  • 131 + 53201 = 53332
  • 239 + 53093 = 53332
  • 263 + 53069 = 53332
  • 281 + 53051 = 53332

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Kyun
U+D054
Other letter (Lo)

UTF-8 encoding: ED 81 94 (3 bytes).

Hex color
#00D054
RGB(0, 208, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.208.84.

Address
0.0.208.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.208.84

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

Position in π

The digit sequence 53332 first appears in π at position 125,973 of the decimal expansion (the 125,973ordinal-suffix:rd 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