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13,706

13,706 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 Odious Number Pernicious Number Recamán's Sequence Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
60,731
Recamán's sequence
a(91,232) = 13,706
Square (n²)
187,854,436
Cube (n³)
2,574,732,899,816
Divisor count
16
σ(n) — sum of divisors
25,920
φ(n) — Euler's totient
5,280
Sum of prime factors
109

Primality

Prime factorization: 2 × 7 × 11 × 89

Nearest primes: 13,697 (−9) · 13,709 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 11 · 14 · 22 · 77 · 89 · 154 · 178 · 623 · 979 · 1246 · 1958 · 6853 (half) · 13706
Aliquot sum (sum of proper divisors): 12,214
Factor pairs (a × b = 13,706)
1 × 13706
2 × 6853
7 × 1958
11 × 1246
14 × 979
22 × 623
77 × 178
89 × 154
First multiples
13,706 · 27,412 (double) · 41,118 · 54,824 · 68,530 · 82,236 · 95,942 · 109,648 · 123,354 · 137,060

Sums & aliquot sequence

As consecutive integers: 3,425 + 3,426 + 3,427 + 3,428 1,955 + 1,956 + … + 1,961 1,241 + 1,242 + … + 1,251 476 + 477 + … + 503
Aliquot sequence: 13,706 12,214 6,794 3,766 2,714 1,606 1,058 601 1 0 — terminates at zero

Representations

In words
thirteen thousand seven hundred six
Ordinal
13706th
Binary
11010110001010
Octal
32612
Hexadecimal
0x358A
Base64
NYo=
One's complement
51,829 (16-bit)
In other bases
ternary (3) 200210122
quaternary (4) 3112022
quinary (5) 414311
senary (6) 143242
septenary (7) 54650
nonary (9) 20718
undecimal (11) a330
duodecimal (12) 7b22
tridecimal (13) 6314
tetradecimal (14) 4dd0
pentadecimal (15) 40db

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψϛʹ
Mayan (base 20)
𝋡·𝋮·𝋥·𝋦
Chinese
一萬三千七百零六
Chinese (financial)
壹萬參仟柒佰零陸
In other modern scripts
Eastern Arabic ١٣٧٠٦ Devanagari १३७०६ Bengali ১৩৭০৬ Tamil ௧௩௭௦௬ Thai ๑๓๗๐๖ Tibetan ༡༣༧༠༦ Khmer ១៣៧០៦ Lao ໑໓໗໐໖ Burmese ၁၃၇၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,706 = 1
e — Euler's number (e)
Digit 13,706 = 6
φ — Golden ratio (φ)
Digit 13,706 = 5
√2 — Pythagoras's (√2)
Digit 13,706 = 0
ln 2 — Natural log of 2
Digit 13,706 = 6
γ — Euler-Mascheroni (γ)
Digit 13,706 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13706, here are decompositions:

  • 13 + 13693 = 13706
  • 19 + 13687 = 13706
  • 37 + 13669 = 13706
  • 73 + 13633 = 13706
  • 79 + 13627 = 13706
  • 109 + 13597 = 13706
  • 139 + 13567 = 13706
  • 193 + 13513 = 13706

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-358A
U+358A
Other letter (Lo)

UTF-8 encoding: E3 96 8A (3 bytes).

Hex color
#00358A
RGB(0, 53, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.138.

Address
0.0.53.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.138

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

Position in π

The digit sequence 13706 first appears in π at position 61,423 of the decimal expansion (the 61,423ordinal-suffix:rd 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.