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53,664

53,664 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 Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Smith Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
2,160
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
46,635
Recamán's sequence
a(294,124) = 53,664
Square (n²)
2,879,824,896
Cube (n³)
154,542,923,218,944
Divisor count
48
σ(n) — sum of divisors
155,232
φ(n) — Euler's totient
16,128
Sum of prime factors
69

Primality

Prime factorization: 2 5 × 3 × 13 × 43

Nearest primes: 53,657 (−7) · 53,681 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 32 · 39 · 43 · 48 · 52 · 78 · 86 · 96 · 104 · 129 · 156 · 172 · 208 · 258 · 312 · 344 · 416 · 516 · 559 · 624 · 688 · 1032 · 1118 · 1248 · 1376 · 1677 · 2064 · 2236 · 3354 · 4128 · 4472 · 6708 · 8944 · 13416 · 17888 · 26832 (half) · 53664
Aliquot sum (sum of proper divisors): 101,568
Factor pairs (a × b = 53,664)
1 × 53664
2 × 26832
3 × 17888
4 × 13416
6 × 8944
8 × 6708
12 × 4472
13 × 4128
16 × 3354
24 × 2236
26 × 2064
32 × 1677
39 × 1376
43 × 1248
48 × 1118
52 × 1032
78 × 688
86 × 624
96 × 559
104 × 516
129 × 416
156 × 344
172 × 312
208 × 258
First multiples
53,664 · 107,328 (double) · 160,992 · 214,656 · 268,320 · 321,984 · 375,648 · 429,312 · 482,976 · 536,640

Sums & aliquot sequence

As consecutive integers: 17,887 + 17,888 + 17,889 4,122 + 4,123 + … + 4,134 1,357 + 1,358 + … + 1,395 1,227 + 1,228 + … + 1,269
Aliquot sequence: 53,664 101,568 179,356 134,524 121,676 102,604 79,340 87,316 67,916 50,944 51,256 47,744 47,626 23,816 24,484 18,370 17,918 — unresolved within range

Representations

In words
fifty-three thousand six hundred sixty-four
Ordinal
53664th
Binary
1101000110100000
Octal
150640
Hexadecimal
0xD1A0
Base64
0aA=
One's complement
11,871 (16-bit)
In other bases
ternary (3) 2201121120
quaternary (4) 31012200
quinary (5) 3204124
senary (6) 1052240
septenary (7) 312312
nonary (9) 81546
undecimal (11) 37356
duodecimal (12) 27080
tridecimal (13) 1b570
tetradecimal (14) 157b2
pentadecimal (15) 10d79

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νγχξδʹ
Mayan (base 20)
𝋦·𝋮·𝋣·𝋤
Chinese
五萬三千六百六十四
Chinese (financial)
伍萬參仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ٥٣٦٦٤ Devanagari ५३६६४ Bengali ৫৩৬৬৪ Tamil ௫௩௬௬௪ Thai ๕๓๖๖๔ Tibetan ༥༣༦༦༤ Khmer ៥៣៦៦៤ Lao ໕໓໖໖໔ Burmese ၅၃၆၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 53,664 = 8
e — Euler's number (e)
Digit 53,664 = 3
φ — Golden ratio (φ)
Digit 53,664 = 3
√2 — Pythagoras's (√2)
Digit 53,664 = 4
ln 2 — Natural log of 2
Digit 53,664 = 1
γ — Euler-Mascheroni (γ)
Digit 53,664 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53664, here are decompositions:

  • 7 + 53657 = 53664
  • 11 + 53653 = 53664
  • 31 + 53633 = 53664
  • 41 + 53623 = 53664
  • 47 + 53617 = 53664
  • 53 + 53611 = 53664
  • 67 + 53597 = 53664
  • 71 + 53593 = 53664

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable To
U+D1A0
Other letter (Lo)

UTF-8 encoding: ED 86 A0 (3 bytes).

Hex color
#00D1A0
RGB(0, 209, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.209.160.

Address
0.0.209.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.209.160

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

Position in π

The digit sequence 53664 first appears in π at position 130,788 of the decimal expansion (the 130,788ordinal-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.