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47,136

47,136 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.).

47,136 (forty-seven thousand one hundred thirty-six) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 491. Its proper divisors sum to 76,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xB820.

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
504
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
63,174
Recamán's sequence
a(147,935) = 47,136
Square (n²)
2,221,802,496
Cube (n³)
104,726,882,451,456
Divisor count
24
σ(n) — sum of divisors
123,984
φ(n) — Euler's totient
15,680
Sum of prime factors
504

Primality

Prime factorization: 2 5 × 3 × 491

Nearest primes: 47,129 (−7) · 47,137 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 491 · 982 · 1473 · 1964 · 2946 · 3928 · 5892 · 7856 · 11784 · 15712 · 23568 (half) · 47136
Aliquot sum (sum of proper divisors): 76,848
Factor pairs (a × b = 47,136)
1 × 47136
2 × 23568
3 × 15712
4 × 11784
6 × 7856
8 × 5892
12 × 3928
16 × 2946
24 × 1964
32 × 1473
48 × 982
96 × 491
First multiples
47,136 · 94,272 (double) · 141,408 · 188,544 · 235,680 · 282,816 · 329,952 · 377,088 · 424,224 · 471,360

Sums & aliquot sequence

As consecutive integers: 15,711 + 15,712 + 15,713 705 + 706 + … + 768 150 + 151 + … + 341
Aliquot sequence: 47,136 76,848 121,800 324,600 683,520 1,526,160 3,205,680 7,565,952 15,200,448 27,392,304 47,535,936 97,939,008 184,560,300 441,024,660 922,020,660 2,171,309,580 5,013,757,764 — unresolved within range

Continued fraction of √n

√47,136 = [217; (9, 4, 4, 3, 18, 1, 1, 3, 13, 3, 1, 1, 18, 3, 4, 4, 9, 434)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
forty-seven thousand one hundred thirty-six
Ordinal
47136th
Binary
1011100000100000
Octal
134040
Hexadecimal
0xB820
Base64
uCA=
One's complement
18,399 (16-bit)
Scientific notation
4.7136 × 10⁴
As a duration
47,136 s = 13 hours, 5 minutes, 36 seconds
In other bases
ternary (3) 2101122210
quaternary (4) 23200200
quinary (5) 3002021
senary (6) 1002120
septenary (7) 254265
nonary (9) 71583
undecimal (11) 32461
duodecimal (12) 23340
tridecimal (13) 185bb
tetradecimal (14) 1326c
pentadecimal (15) de76

As an angle

47,136° = 130 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μζρλϛʹ
Mayan (base 20)
𝋥·𝋱·𝋰·𝋰
Chinese
四萬七千一百三十六
Chinese (financial)
肆萬柒仟壹佰參拾陸
In other modern scripts
Eastern Arabic ٤٧١٣٦ Devanagari ४७१३६ Bengali ৪৭১৩৬ Tamil ௪௭௧௩௬ Thai ๔๗๑๓๖ Tibetan ༤༧༡༣༦ Khmer ៤៧១៣៦ Lao ໔໗໑໓໖ Burmese ၄၇၁၃၆

Digit at this position in famous constants

π — Pi (π)
Digit 47,136 = 2
e — Euler's number (e)
Digit 47,136 = 0
φ — Golden ratio (φ)
Digit 47,136 = 8
√2 — Pythagoras's (√2)
Digit 47,136 = 4
ln 2 — Natural log of 2
Digit 47,136 = 7
γ — Euler-Mascheroni (γ)
Digit 47,136 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 47136, here are decompositions:

  • 7 + 47129 = 47136
  • 13 + 47123 = 47136
  • 17 + 47119 = 47136
  • 43 + 47093 = 47136
  • 79 + 47057 = 47136
  • 139 + 46997 = 47136
  • 179 + 46957 = 47136
  • 269 + 46867 = 47136

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Rek
U+B820
Other letter (Lo)

UTF-8 encoding: EB A0 A0 (3 bytes).

Hex color
#00B820
RGB(0, 184, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.184.32.

Address
0.0.184.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.184.32

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

Position in π

The digit sequence 47136 first appears in π at position 32,160 of the decimal expansion (the 32,160ordinal-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°.