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55,320

55,320 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 Evil Number Harshad / Niven Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
2,355
Recamán's sequence
a(140,915) = 55,320
Square (n²)
3,060,302,400
Cube (n³)
169,295,928,768,000
Divisor count
32
σ(n) — sum of divisors
166,320
φ(n) — Euler's totient
14,720
Sum of prime factors
475

Primality

Prime factorization: 2 3 × 3 × 5 × 461

Nearest primes: 55,313 (−7) · 55,331 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 461 · 922 · 1383 · 1844 · 2305 · 2766 · 3688 · 4610 · 5532 · 6915 · 9220 · 11064 · 13830 · 18440 · 27660 (half) · 55320
Aliquot sum (sum of proper divisors): 111,000
Factor pairs (a × b = 55,320)
1 × 55320
2 × 27660
3 × 18440
4 × 13830
5 × 11064
6 × 9220
8 × 6915
10 × 5532
12 × 4610
15 × 3688
20 × 2766
24 × 2305
30 × 1844
40 × 1383
60 × 922
120 × 461
First multiples
55,320 · 110,640 (double) · 165,960 · 221,280 · 276,600 · 331,920 · 387,240 · 442,560 · 497,880 · 553,200

Sums & aliquot sequence

As consecutive integers: 18,439 + 18,440 + 18,441 11,062 + 11,063 + 11,064 + 11,065 + 11,066 3,681 + 3,682 + … + 3,695 3,450 + 3,451 + … + 3,465
Aliquot sequence: 55,320 111,000 244,680 489,720 1,376,520 2,753,400 6,464,760 14,076,840 28,154,040 63,939,720 154,876,920 351,997,320 703,995,000 1,495,332,240 3,429,144,240 7,201,203,648 12,038,906,208 — keeps growing

Representations

In words
fifty-five thousand three hundred twenty
Ordinal
55320th
Binary
1101100000011000
Octal
154030
Hexadecimal
0xD818
Base64
2Bg=
One's complement
10,215 (16-bit)
In other bases
ternary (3) 2210212220
quaternary (4) 31200120
quinary (5) 3232240
senary (6) 1104040
septenary (7) 320166
nonary (9) 83786
undecimal (11) 38621
duodecimal (12) 28020
tridecimal (13) 1c245
tetradecimal (14) 16236
pentadecimal (15) 115d0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵νετκʹ
Mayan (base 20)
𝋦·𝋲·𝋦·𝋠
Chinese
五萬五千三百二十
Chinese (financial)
伍萬伍仟參佰貳拾
In other modern scripts
Eastern Arabic ٥٥٣٢٠ Devanagari ५५३२० Bengali ৫৫৩২০ Tamil ௫௫௩௨௦ Thai ๕๕๓๒๐ Tibetan ༥༥༣༢༠ Khmer ៥៥៣២០ Lao ໕໕໓໒໐ Burmese ၅၅၃၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 55,320 = 1
e — Euler's number (e)
Digit 55,320 = 9
φ — Golden ratio (φ)
Digit 55,320 = 4
√2 — Pythagoras's (√2)
Digit 55,320 = 5
ln 2 — Natural log of 2
Digit 55,320 = 7
γ — Euler-Mascheroni (γ)
Digit 55,320 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 55320, here are decompositions:

  • 7 + 55313 = 55320
  • 29 + 55291 = 55320
  • 61 + 55259 = 55320
  • 71 + 55249 = 55320
  • 101 + 55219 = 55320
  • 103 + 55217 = 55320
  • 107 + 55213 = 55320
  • 113 + 55207 = 55320

Showing the first eight; more decompositions exist.

Hex color
#00D818
RGB(0, 216, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.216.24.

Address
0.0.216.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.216.24

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

Position in π

The digit sequence 55320 first appears in π at position 83,982 of the decimal expansion (the 83,982ordinal-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.