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13,488

13,488 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 Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
768
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
88,431
Recamán's sequence
a(47,299) = 13,488
Square (n²)
181,926,144
Cube (n³)
2,453,819,830,272
Divisor count
20
σ(n) — sum of divisors
34,968
φ(n) — Euler's totient
4,480
Sum of prime factors
292

Primality

Prime factorization: 2 4 × 3 × 281

Nearest primes: 13,487 (−1) · 13,499 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 281 · 562 · 843 · 1124 · 1686 · 2248 · 3372 · 4496 · 6744 (half) · 13488
Aliquot sum (sum of proper divisors): 21,480
Factor pairs (a × b = 13,488)
1 × 13488
2 × 6744
3 × 4496
4 × 3372
6 × 2248
8 × 1686
12 × 1124
16 × 843
24 × 562
48 × 281
First multiples
13,488 · 26,976 (double) · 40,464 · 53,952 · 67,440 · 80,928 · 94,416 · 107,904 · 121,392 · 134,880

Sums & aliquot sequence

As consecutive integers: 4,495 + 4,496 + 4,497 406 + 407 + … + 437 93 + 94 + … + 188
Aliquot sequence: 13,488 21,480 43,320 93,840 227,568 415,248 688,848 1,120,560 3,164,880 6,646,992 12,086,928 28,342,032 45,117,552 79,735,568 89,795,248 88,427,720 111,382,000 — unresolved within range

Representations

In words
thirteen thousand four hundred eighty-eight
Ordinal
13488th
Binary
11010010110000
Octal
32260
Hexadecimal
0x34B0
Base64
NLA=
One's complement
52,047 (16-bit)
In other bases
ternary (3) 200111120
quaternary (4) 3102300
quinary (5) 412423
senary (6) 142240
septenary (7) 54216
nonary (9) 20446
undecimal (11) a152
duodecimal (12) 7980
tridecimal (13) 61a7
tetradecimal (14) 4cb6
pentadecimal (15) 3ee3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγυπηʹ
Mayan (base 20)
𝋡·𝋭·𝋮·𝋨
Chinese
一萬三千四百八十八
Chinese (financial)
壹萬參仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٤٨٨ Devanagari १३४८८ Bengali ১৩৪৮৮ Tamil ௧௩௪௮௮ Thai ๑๓๔๘๘ Tibetan ༡༣༤༨༨ Khmer ១៣៤៨៨ Lao ໑໓໔໘໘ Burmese ၁၃၄၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,488 = 2
e — Euler's number (e)
Digit 13,488 = 5
φ — Golden ratio (φ)
Digit 13,488 = 9
√2 — Pythagoras's (√2)
Digit 13,488 = 6
ln 2 — Natural log of 2
Digit 13,488 = 5
γ — Euler-Mascheroni (γ)
Digit 13,488 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13488, here are decompositions:

  • 11 + 13477 = 13488
  • 19 + 13469 = 13488
  • 31 + 13457 = 13488
  • 37 + 13451 = 13488
  • 47 + 13441 = 13488
  • 67 + 13421 = 13488
  • 71 + 13417 = 13488
  • 89 + 13399 = 13488

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-34B0
U+34B0
Other letter (Lo)

UTF-8 encoding: E3 92 B0 (3 bytes).

Hex color
#0034B0
RGB(0, 52, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.176.

Address
0.0.52.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.176

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

Position in π

The digit sequence 13488 first appears in π at position 51,772 of the decimal expansion (the 51,772ordinal-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.