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13,702

13,702 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 Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
20,731
Recamán's sequence
a(91,240) = 13,702
Square (n²)
187,744,804
Cube (n³)
2,572,479,304,408
Divisor count
16
σ(n) — sum of divisors
24,192
φ(n) — Euler's totient
5,760
Sum of prime factors
63

Primality

Prime factorization: 2 × 13 × 17 × 31

Nearest primes: 13,697 (−5) · 13,709 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 17 · 26 · 31 · 34 · 62 · 221 · 403 · 442 · 527 · 806 · 1054 · 6851 (half) · 13702
Aliquot sum (sum of proper divisors): 10,490
Factor pairs (a × b = 13,702)
1 × 13702
2 × 6851
13 × 1054
17 × 806
26 × 527
31 × 442
34 × 403
62 × 221
First multiples
13,702 · 27,404 (double) · 41,106 · 54,808 · 68,510 · 82,212 · 95,914 · 109,616 · 123,318 · 137,020

Sums & aliquot sequence

As consecutive integers: 3,424 + 3,425 + 3,426 + 3,427 1,048 + 1,049 + … + 1,060 798 + 799 + … + 814 427 + 428 + … + 457
Aliquot sequence: 13,702 10,490 8,410 7,268 6,172 4,636 4,044 5,420 6,004 5,196 6,956 5,812 4,366 2,474 1,240 1,640 2,140 — unresolved within range

Representations

In words
thirteen thousand seven hundred two
Ordinal
13702nd
Binary
11010110000110
Octal
32606
Hexadecimal
0x3586
Base64
NYY=
One's complement
51,833 (16-bit)
In other bases
ternary (3) 200210111
quaternary (4) 3112012
quinary (5) 414302
senary (6) 143234
septenary (7) 54643
nonary (9) 20714
undecimal (11) a327
duodecimal (12) 7b1a
tridecimal (13) 6310
tetradecimal (14) 4dca
pentadecimal (15) 40d7

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ιγψβʹ
Mayan (base 20)
𝋡·𝋮·𝋥·𝋢
Chinese
一萬三千七百零二
Chinese (financial)
壹萬參仟柒佰零貳
In other modern scripts
Eastern Arabic ١٣٧٠٢ Devanagari १३७०२ Bengali ১৩৭০২ Tamil ௧௩௭௦௨ Thai ๑๓๗๐๒ Tibetan ༡༣༧༠༢ Khmer ១៣៧០២ Lao ໑໓໗໐໒ Burmese ၁၃၇၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,702 = 7
e — Euler's number (e)
Digit 13,702 = 4
φ — Golden ratio (φ)
Digit 13,702 = 2
√2 — Pythagoras's (√2)
Digit 13,702 = 1
ln 2 — Natural log of 2
Digit 13,702 = 1
γ — Euler-Mascheroni (γ)
Digit 13,702 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13702, here are decompositions:

  • 5 + 13697 = 13702
  • 11 + 13691 = 13702
  • 23 + 13679 = 13702
  • 53 + 13649 = 13702
  • 83 + 13619 = 13702
  • 89 + 13613 = 13702
  • 149 + 13553 = 13702
  • 179 + 13523 = 13702

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3586
U+3586
Other letter (Lo)

UTF-8 encoding: E3 96 86 (3 bytes).

Hex color
#003586
RGB(0, 53, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.134.

Address
0.0.53.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.134

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

Position in π

The digit sequence 13702 first appears in π at position 24,357 of the decimal expansion (the 24,357ordinal-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.