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13,988

13,988 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.).
Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Self Number

Properties

Parity
Even
Digit count
5
Digit sum
29
Digit product
1,728
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
88,931
Recamán's sequence
a(20,740) = 13,988
Square (n²)
195,664,144
Cube (n³)
2,736,950,046,272
Divisor count
12
σ(n) — sum of divisors
26,460
φ(n) — Euler's totient
6,432
Sum of prime factors
286

Primality

Prime factorization: 2 2 × 13 × 269

Nearest primes: 13,967 (−21) · 13,997 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 269 · 538 · 1076 · 3497 · 6994 (half) · 13988
Aliquot sum (sum of proper divisors): 12,472
Factor pairs (a × b = 13,988)
1 × 13988
2 × 6994
4 × 3497
13 × 1076
26 × 538
52 × 269
First multiples
13,988 · 27,976 (double) · 41,964 · 55,952 · 69,940 · 83,928 · 97,916 · 111,904 · 125,892 · 139,880

Sums & aliquot sequence

As a sum of two squares: 8² + 118² = 38² + 112²
As consecutive integers: 1,745 + 1,746 + … + 1,752 1,070 + 1,071 + … + 1,082 83 + 84 + … + 186
Aliquot sequence: 13,988 12,472 10,928 10,276 10,332 20,244 33,964 34,020 88,284 147,364 163,996 164,052 346,668 578,004 992,460 2,394,420 5,269,068 — unresolved within range

Representations

In words
thirteen thousand nine hundred eighty-eight
Ordinal
13988th
Binary
11011010100100
Octal
33244
Hexadecimal
0x36A4
Base64
NqQ=
One's complement
51,547 (16-bit)
In other bases
ternary (3) 201012002
quaternary (4) 3122210
quinary (5) 421423
senary (6) 144432
septenary (7) 55532
nonary (9) 21162
undecimal (11) a567
duodecimal (12) 8118
tridecimal (13) 64a0
tetradecimal (14) 5152
pentadecimal (15) 4228

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡπηʹ
Mayan (base 20)
𝋡·𝋮·𝋳·𝋨
Chinese
一萬三千九百八十八
Chinese (financial)
壹萬參仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٩٨٨ Devanagari १३९८८ Bengali ১৩৯৮৮ Tamil ௧௩௯௮௮ Thai ๑๓๙๘๘ Tibetan ༡༣༩༨༨ Khmer ១៣៩៨៨ Lao ໑໓໙໘໘ Burmese ၁၃၉၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,988 = 8
e — Euler's number (e)
Digit 13,988 = 2
φ — Golden ratio (φ)
Digit 13,988 = 1
√2 — Pythagoras's (√2)
Digit 13,988 = 8
ln 2 — Natural log of 2
Digit 13,988 = 4
γ — Euler-Mascheroni (γ)
Digit 13,988 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13988, here are decompositions:

  • 67 + 13921 = 13988
  • 109 + 13879 = 13988
  • 157 + 13831 = 13988
  • 181 + 13807 = 13988
  • 199 + 13789 = 13988
  • 229 + 13759 = 13988
  • 277 + 13711 = 13988
  • 307 + 13681 = 13988

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-36A4
U+36A4
Other letter (Lo)

UTF-8 encoding: E3 9A A4 (3 bytes).

Hex color
#0036A4
RGB(0, 54, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.164.

Address
0.0.54.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.164

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

Position in π

The digit sequence 13988 first appears in π at position 124,669 of the decimal expansion (the 124,669ordinal-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.