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13,464

13,464 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
288
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
46,431
Recamán's sequence
a(47,347) = 13,464
Square (n²)
181,279,296
Cube (n³)
2,440,744,441,344
Divisor count
48
σ(n) — sum of divisors
42,120
φ(n) — Euler's totient
3,840
Sum of prime factors
40

Primality

Prime factorization: 2 3 × 3 2 × 11 × 17

Nearest primes: 13,463 (−1) · 13,469 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 17 · 18 · 22 · 24 · 33 · 34 · 36 · 44 · 51 · 66 · 68 · 72 · 88 · 99 · 102 · 132 · 136 · 153 · 187 · 198 · 204 · 264 · 306 · 374 · 396 · 408 · 561 · 612 · 748 · 792 · 1122 · 1224 · 1496 · 1683 · 2244 · 3366 · 4488 · 6732 (half) · 13464
Aliquot sum (sum of proper divisors): 28,656
Factor pairs (a × b = 13,464)
1 × 13464
2 × 6732
3 × 4488
4 × 3366
6 × 2244
8 × 1683
9 × 1496
11 × 1224
12 × 1122
17 × 792
18 × 748
22 × 612
24 × 561
33 × 408
34 × 396
36 × 374
44 × 306
51 × 264
66 × 204
68 × 198
72 × 187
88 × 153
99 × 136
102 × 132
First multiples
13,464 · 26,928 (double) · 40,392 · 53,856 · 67,320 · 80,784 · 94,248 · 107,712 · 121,176 · 134,640

Sums & aliquot sequence

As consecutive integers: 4,487 + 4,488 + 4,489 1,492 + 1,493 + … + 1,500 1,219 + 1,220 + … + 1,229 834 + 835 + … + 849
Aliquot sequence: 13,464 28,656 51,944 48,376 42,344 39,256 44,984 39,376 40,976 44,956 33,724 25,300 37,196 31,852 23,896 22,904 26,296 — unresolved within range

Representations

In words
thirteen thousand four hundred sixty-four
Ordinal
13464th
Binary
11010010011000
Octal
32230
Hexadecimal
0x3498
Base64
NJg=
One's complement
52,071 (16-bit)
In other bases
ternary (3) 200110200
quaternary (4) 3102120
quinary (5) 412324
senary (6) 142200
septenary (7) 54153
nonary (9) 20420
undecimal (11) a130
duodecimal (12) 7960
tridecimal (13) 6189
tetradecimal (14) 4c9a
pentadecimal (15) 3ec9

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγυξδʹ
Mayan (base 20)
𝋡·𝋭·𝋭·𝋤
Chinese
一萬三千四百六十四
Chinese (financial)
壹萬參仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٤٦٤ Devanagari १३४६४ Bengali ১৩৪৬৪ Tamil ௧௩௪௬௪ Thai ๑๓๔๖๔ Tibetan ༡༣༤༦༤ Khmer ១៣៤៦៤ Lao ໑໓໔໖໔ Burmese ၁၃၄၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,464 = 6
e — Euler's number (e)
Digit 13,464 = 0
φ — Golden ratio (φ)
Digit 13,464 = 4
√2 — Pythagoras's (√2)
Digit 13,464 = 6
ln 2 — Natural log of 2
Digit 13,464 = 3
γ — Euler-Mascheroni (γ)
Digit 13,464 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13464, here are decompositions:

  • 7 + 13457 = 13464
  • 13 + 13451 = 13464
  • 23 + 13441 = 13464
  • 43 + 13421 = 13464
  • 47 + 13417 = 13464
  • 53 + 13411 = 13464
  • 67 + 13397 = 13464
  • 83 + 13381 = 13464

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3498
U+3498
Other letter (Lo)

UTF-8 encoding: E3 92 98 (3 bytes).

Hex color
#003498
RGB(0, 52, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.152.

Address
0.0.52.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.152

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

Position in π

The digit sequence 13464 first appears in π at position 88,597 of the decimal expansion (the 88,597ordinal-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.