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61,344

61,344 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 Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
288
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
44,316
Recamán's sequence
a(44,276) = 61,344
Square (n²)
3,763,086,336
Cube (n³)
230,842,768,195,584
Divisor count
48
σ(n) — sum of divisors
181,440
φ(n) — Euler's totient
20,160
Sum of prime factors
90

Primality

Prime factorization: 2 5 × 3 3 × 71

Nearest primes: 61,343 (−1) · 61,357 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 71 · 72 · 96 · 108 · 142 · 144 · 213 · 216 · 284 · 288 · 426 · 432 · 568 · 639 · 852 · 864 · 1136 · 1278 · 1704 · 1917 · 2272 · 2556 · 3408 · 3834 · 5112 · 6816 · 7668 · 10224 · 15336 · 20448 · 30672 (half) · 61344
Aliquot sum (sum of proper divisors): 120,096
Factor pairs (a × b = 61,344)
1 × 61344
2 × 30672
3 × 20448
4 × 15336
6 × 10224
8 × 7668
9 × 6816
12 × 5112
16 × 3834
18 × 3408
24 × 2556
27 × 2272
32 × 1917
36 × 1704
48 × 1278
54 × 1136
71 × 864
72 × 852
96 × 639
108 × 568
142 × 432
144 × 426
213 × 288
216 × 284
First multiples
61,344 · 122,688 (double) · 184,032 · 245,376 · 306,720 · 368,064 · 429,408 · 490,752 · 552,096 · 613,440

Sums & aliquot sequence

As consecutive integers: 20,447 + 20,448 + 20,449 6,812 + 6,813 + … + 6,820 2,259 + 2,260 + … + 2,285 927 + 928 + … + 990
Aliquot sequence: 61,344 120,096 232,704 444,882 462,318 494,562 503,358 527,298 573,438 610,818 743,934 743,946 956,598 1,086,282 1,349,658 1,608,570 2,656,782 — unresolved within range

Representations

In words
sixty-one thousand three hundred forty-four
Ordinal
61344th
Binary
1110111110100000
Octal
167640
Hexadecimal
0xEFA0
Base64
76A=
One's complement
4,191 (16-bit)
In other bases
ternary (3) 10010011000
quaternary (4) 32332200
quinary (5) 3430334
senary (6) 1152000
septenary (7) 343563
nonary (9) 103130
undecimal (11) 420a8
duodecimal (12) 2b600
tridecimal (13) 21bca
tetradecimal (14) 184da
pentadecimal (15) 13299

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ξατμδʹ
Mayan (base 20)
𝋧·𝋭·𝋧·𝋤
Chinese
六萬一千三百四十四
Chinese (financial)
陸萬壹仟參佰肆拾肆
In other modern scripts
Eastern Arabic ٦١٣٤٤ Devanagari ६१३४४ Bengali ৬১৩৪৪ Tamil ௬௧௩௪௪ Thai ๖๑๓๔๔ Tibetan ༦༡༣༤༤ Khmer ៦១៣៤៤ Lao ໖໑໓໔໔ Burmese ၆၁၃၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 61,344 = 1
e — Euler's number (e)
Digit 61,344 = 0
φ — Golden ratio (φ)
Digit 61,344 = 8
√2 — Pythagoras's (√2)
Digit 61,344 = 2
ln 2 — Natural log of 2
Digit 61,344 = 8
γ — Euler-Mascheroni (γ)
Digit 61,344 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61344, here are decompositions:

  • 5 + 61339 = 61344
  • 11 + 61333 = 61344
  • 13 + 61331 = 61344
  • 47 + 61297 = 61344
  • 53 + 61291 = 61344
  • 61 + 61283 = 61344
  • 83 + 61261 = 61344
  • 113 + 61231 = 61344

Showing the first eight; more decompositions exist.

Hex color
#00EFA0
RGB(0, 239, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.239.160.

Address
0.0.239.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.239.160

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

Position in π

The digit sequence 61344 first appears in π at position 55,382 of the decimal expansion (the 55,382ordinal-suffix:nd 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.