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13,968

13,968 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 Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
1,296
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
86,931
Recamán's sequence
a(20,780) = 13,968
Square (n²)
195,105,024
Cube (n³)
2,725,226,975,232
Divisor count
30
σ(n) — sum of divisors
39,494
φ(n) — Euler's totient
4,608
Sum of prime factors
111

Primality

Prime factorization: 2 4 × 3 2 × 97

Nearest primes: 13,967 (−1) · 13,997 (+29)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 97 · 144 · 194 · 291 · 388 · 582 · 776 · 873 · 1164 · 1552 · 1746 · 2328 · 3492 · 4656 · 6984 (half) · 13968
Aliquot sum (sum of proper divisors): 25,526
Factor pairs (a × b = 13,968)
1 × 13968
2 × 6984
3 × 4656
4 × 3492
6 × 2328
8 × 1746
9 × 1552
12 × 1164
16 × 873
18 × 776
24 × 582
36 × 388
48 × 291
72 × 194
97 × 144
First multiples
13,968 · 27,936 (double) · 41,904 · 55,872 · 69,840 · 83,808 · 97,776 · 111,744 · 125,712 · 139,680

Sums & aliquot sequence

As a sum of two squares: 48² + 108²
As consecutive integers: 4,655 + 4,656 + 4,657 1,548 + 1,549 + … + 1,556 421 + 422 + … + 452 98 + 99 + … + 193
Aliquot sequence: 13,968 25,526 12,766 7,898 5,062 2,534 1,834 1,334 826 614 310 266 214 110 106 56 64 — unresolved within range

Representations

In words
thirteen thousand nine hundred sixty-eight
Ordinal
13968th
Binary
11011010010000
Octal
33220
Hexadecimal
0x3690
Base64
NpA=
One's complement
51,567 (16-bit)
In other bases
ternary (3) 201011100
quaternary (4) 3122100
quinary (5) 421333
senary (6) 144400
septenary (7) 55503
nonary (9) 21140
undecimal (11) a549
duodecimal (12) 8100
tridecimal (13) 6486
tetradecimal (14) 513a
pentadecimal (15) 4213

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡξηʹ
Mayan (base 20)
𝋡·𝋮·𝋲·𝋨
Chinese
一萬三千九百六十八
Chinese (financial)
壹萬參仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٩٦٨ Devanagari १३९६८ Bengali ১৩৯৬৮ Tamil ௧௩௯௬௮ Thai ๑๓๙๖๘ Tibetan ༡༣༩༦༨ Khmer ១៣៩៦៨ Lao ໑໓໙໖໘ Burmese ၁၃၉၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,968 = 7
e — Euler's number (e)
Digit 13,968 = 7
φ — Golden ratio (φ)
Digit 13,968 = 8
√2 — Pythagoras's (√2)
Digit 13,968 = 2
ln 2 — Natural log of 2
Digit 13,968 = 0
γ — Euler-Mascheroni (γ)
Digit 13,968 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13968, here are decompositions:

  • 5 + 13963 = 13968
  • 37 + 13931 = 13968
  • 47 + 13921 = 13968
  • 61 + 13907 = 13968
  • 67 + 13901 = 13968
  • 89 + 13879 = 13968
  • 109 + 13859 = 13968
  • 127 + 13841 = 13968

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3690
U+3690
Other letter (Lo)

UTF-8 encoding: E3 9A 90 (3 bytes).

Hex color
#003690
RGB(0, 54, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.144.

Address
0.0.54.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.144

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

Position in π

The digit sequence 13968 first appears in π at position 517,836 of the decimal expansion (the 517,836ordinal-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.