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13,996

13,996 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.).

13,996 (thirteen thousand nine hundred ninety-six) is an even 5-digit number. It is a composite number with 6 divisors, and factors as 2² × 3,499. Written other ways, in hexadecimal, 0x36AC.

Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
28
Digit product
1,458
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
69,931
Recamán's sequence
a(20,724) = 13,996
Square (n²)
195,888,016
Cube (n³)
2,741,648,671,936
Divisor count
6
σ(n) — sum of divisors
24,500
φ(n) — Euler's totient
6,996
Sum of prime factors
3,503

Primality

Prime factorization: 2 2 × 3499

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

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3499 · 6998 (half) · 13996
Aliquot sum (sum of proper divisors): 10,504
Factor pairs (a × b = 13,996)
1 × 13996
2 × 6998
4 × 3499
First multiples
13,996 · 27,992 (double) · 41,988 · 55,984 · 69,980 · 83,976 · 97,972 · 111,968 · 125,964 · 139,960

Sums & aliquot sequence

As consecutive integers: 1,746 + 1,747 + … + 1,753
Aliquot sequence: 13,996 10,504 10,916 8,194 4,874 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 9,316 8,072 7,078 3,542 — unresolved within range

Continued fraction of √n

√13,996 = [118; (3, 3, 1, 1, 4, 1, 14, 1, 20, 1, 1, 2, 1, 11, 8, 1, 2, 9, 1, 1, 19, 5, 4, 1, …)]

Representations

In words
thirteen thousand nine hundred ninety-six
Ordinal
13996th
Binary
11011010101100
Octal
33254
Hexadecimal
0x36AC
Base64
Nqw=
One's complement
51,539 (16-bit)
Scientific notation
1.3996 × 10⁴
As a duration
13,996 s = 3 hours, 53 minutes, 16 seconds
In other bases
ternary (3) 201012101
quaternary (4) 3122230
quinary (5) 421441
senary (6) 144444
septenary (7) 55543
nonary (9) 21171
undecimal (11) a574
duodecimal (12) 8124
tridecimal (13) 64a8
tetradecimal (14) 515a
pentadecimal (15) 4231

As an angle

13,996° = 38 × 360° + 316°
316° ≈ 5.515 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡϟϛʹ
Mayan (base 20)
𝋡·𝋮·𝋳·𝋰
Chinese
一萬三千九百九十六
Chinese (financial)
壹萬參仟玖佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٩٩٦ Devanagari १३९९६ Bengali ১৩৯৯৬ Tamil ௧௩௯௯௬ Thai ๑๓๙๙๖ Tibetan ༡༣༩༩༦ Khmer ១៣៩៩៦ Lao ໑໓໙໙໖ Burmese ၁၃၉၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,996 = 4
e — Euler's number (e)
Digit 13,996 = 7
φ — Golden ratio (φ)
Digit 13,996 = 9
√2 — Pythagoras's (√2)
Digit 13,996 = 0
ln 2 — Natural log of 2
Digit 13,996 = 4
γ — Euler-Mascheroni (γ)
Digit 13,996 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13996, here are decompositions:

  • 29 + 13967 = 13996
  • 83 + 13913 = 13996
  • 89 + 13907 = 13996
  • 113 + 13883 = 13996
  • 137 + 13859 = 13996
  • 167 + 13829 = 13996
  • 197 + 13799 = 13996
  • 233 + 13763 = 13996

Showing the first eight; more decompositions exist.

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

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

Hex color
#0036AC
RGB(0, 54, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.172.

Address
0.0.54.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.172

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

Musical pitch

Heard as a frequency, 13,996 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -10¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +27¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -9¢)
Position in π

The digit sequence 13996 first appears in π at position 23,150 of the decimal expansion (the 23,150ordinal-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.

Related reading