number.wiki
Live analysis

13,664

13,664 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 Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
46,631
Recamán's sequence
a(4,100) = 13,664
Square (n²)
186,704,896
Cube (n³)
2,551,135,698,944
Divisor count
24
σ(n) — sum of divisors
31,248
φ(n) — Euler's totient
5,760
Sum of prime factors
78

Primality

Prime factorization: 2 5 × 7 × 61

Nearest primes: 13,649 (−15) · 13,669 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 61 · 112 · 122 · 224 · 244 · 427 · 488 · 854 · 976 · 1708 · 1952 · 3416 · 6832 (half) · 13664
Aliquot sum (sum of proper divisors): 17,584
Factor pairs (a × b = 13,664)
1 × 13664
2 × 6832
4 × 3416
7 × 1952
8 × 1708
14 × 976
16 × 854
28 × 488
32 × 427
56 × 244
61 × 224
112 × 122
First multiples
13,664 · 27,328 (double) · 40,992 · 54,656 · 68,320 · 81,984 · 95,648 · 109,312 · 122,976 · 136,640

Sums & aliquot sequence

As consecutive integers: 1,949 + 1,950 + … + 1,955 194 + 195 + … + 254 182 + 183 + … + 245
Aliquot sequence: 13,664 17,584 21,600 56,520 128,340 290,988 462,492 749,628 1,373,892 2,078,844 2,802,564 4,281,786 4,995,456 8,274,744 15,521,256 26,515,674 33,063,846 — unresolved within range

Representations

In words
thirteen thousand six hundred sixty-four
Ordinal
13664th
Binary
11010101100000
Octal
32540
Hexadecimal
0x3560
Base64
NWA=
One's complement
51,871 (16-bit)
In other bases
ternary (3) 200202002
quaternary (4) 3111200
quinary (5) 414124
senary (6) 143132
septenary (7) 54560
nonary (9) 20662
undecimal (11) a2a2
duodecimal (12) 7aa8
tridecimal (13) 62b1
tetradecimal (14) 4da0
pentadecimal (15) 40ae

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγχξδʹ
Mayan (base 20)
𝋡·𝋮·𝋣·𝋤
Chinese
一萬三千六百六十四
Chinese (financial)
壹萬參仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٦٦٤ Devanagari १३६६४ Bengali ১৩৬৬৪ Tamil ௧௩௬௬௪ Thai ๑๓๖๖๔ Tibetan ༡༣༦༦༤ Khmer ១៣៦៦៤ Lao ໑໓໖໖໔ Burmese ၁၃၆၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,664 = 0
e — Euler's number (e)
Digit 13,664 = 6
φ — Golden ratio (φ)
Digit 13,664 = 7
√2 — Pythagoras's (√2)
Digit 13,664 = 3
ln 2 — Natural log of 2
Digit 13,664 = 6
γ — Euler-Mascheroni (γ)
Digit 13,664 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13664, here are decompositions:

  • 31 + 13633 = 13664
  • 37 + 13627 = 13664
  • 67 + 13597 = 13664
  • 73 + 13591 = 13664
  • 97 + 13567 = 13664
  • 127 + 13537 = 13664
  • 151 + 13513 = 13664
  • 223 + 13441 = 13664

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3560
U+3560
Other letter (Lo)

UTF-8 encoding: E3 95 A0 (3 bytes).

Hex color
#003560
RGB(0, 53, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.96.

Address
0.0.53.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.96

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

Position in π

The digit sequence 13664 first appears in π at position 24,716 of the decimal expansion (the 24,716ordinal-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.