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13,906

13,906 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.).

13,906 (thirteen thousand nine hundred six) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 409. Written other ways, in hexadecimal, 0x3652.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
60,931
Recamán's sequence
a(20,904) = 13,906
Square (n²)
193,376,836
Cube (n³)
2,689,098,281,416
Divisor count
8
σ(n) — sum of divisors
22,140
φ(n) — Euler's totient
6,528
Sum of prime factors
428

Primality

Prime factorization: 2 × 17 × 409

Nearest primes: 13,903 (−3) · 13,907 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 17 · 34 · 409 · 818 · 6953 (half) · 13906
Aliquot sum (sum of proper divisors): 8,234
Factor pairs (a × b = 13,906)
1 × 13906
2 × 6953
17 × 818
34 × 409
First multiples
13,906 · 27,812 (double) · 41,718 · 55,624 · 69,530 · 83,436 · 97,342 · 111,248 · 125,154 · 139,060

Sums & aliquot sequence

As a sum of two squares: 45² + 109² = 75² + 91²
As consecutive integers: 3,475 + 3,476 + 3,477 + 3,478 810 + 811 + … + 826 171 + 172 + … + 238
Aliquot sequence: 13,906 8,234 4,726 2,834 1,786 1,094 550 566 286 218 112 136 134 70 74 40 50 — unresolved within range

Continued fraction of √n

√13,906 = [117; (1, 12, 9, 2, 1, 4, 25, 1, 116, 1, 25, 4, 1, 2, 9, 12, 1, 234)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand nine hundred six
Ordinal
13906th
Binary
11011001010010
Octal
33122
Hexadecimal
0x3652
Base64
NlI=
One's complement
51,629 (16-bit)
Scientific notation
1.3906 × 10⁴
As a duration
13,906 s = 3 hours, 51 minutes, 46 seconds
In other bases
ternary (3) 201002001
quaternary (4) 3121102
quinary (5) 421111
senary (6) 144214
septenary (7) 55354
nonary (9) 21061
undecimal (11) a4a2
duodecimal (12) 806a
tridecimal (13) 6439
tetradecimal (14) 50d4
pentadecimal (15) 41c1

As an angle

13,906° = 38 × 360° + 226°
226° ≈ 3.944 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡϛʹ
Mayan (base 20)
𝋡·𝋮·𝋯·𝋦
Chinese
一萬三千九百零六
Chinese (financial)
壹萬參仟玖佰零陸
In other modern scripts
Eastern Arabic ١٣٩٠٦ Devanagari १३९०६ Bengali ১৩৯০৬ Tamil ௧௩௯௦௬ Thai ๑๓๙๐๖ Tibetan ༡༣༩༠༦ Khmer ១៣៩០៦ Lao ໑໓໙໐໖ Burmese ၁၃၉၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,906 = 4
e — Euler's number (e)
Digit 13,906 = 3
φ — Golden ratio (φ)
Digit 13,906 = 5
√2 — Pythagoras's (√2)
Digit 13,906 = 9
ln 2 — Natural log of 2
Digit 13,906 = 2
γ — Euler-Mascheroni (γ)
Digit 13,906 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13906, here are decompositions:

  • 3 + 13903 = 13906
  • 5 + 13901 = 13906
  • 23 + 13883 = 13906
  • 29 + 13877 = 13906
  • 47 + 13859 = 13906
  • 107 + 13799 = 13906
  • 149 + 13757 = 13906
  • 197 + 13709 = 13906

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3652
U+3652
Other letter (Lo)

UTF-8 encoding: E3 99 92 (3 bytes).

Hex color
#003652
RGB(0, 54, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.82.

Address
0.0.54.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.82

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

Musical pitch

Heard as a frequency, 13,906 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -22¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +16¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -20¢)
Position in π

The digit sequence 13906 first appears in π at position 83,110 of the decimal expansion (the 83,110ordinal-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