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Number

13,709

13,709 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
90,731
Recamán's sequence
a(91,226) = 13,709
Square (n²)
187,936,681
Cube (n³)
2,576,423,959,829
Divisor count
2
σ(n) — sum of divisors
13,710
φ(n) — Euler's totient
13,708

Primality

13,709 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13709
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,709)
1 × 13709
First multiples
13,709 · 27,418 (double) · 41,127 · 54,836 · 68,545 · 82,254 · 95,963 · 109,672 · 123,381 · 137,090

Sums & aliquot sequence

As a sum of two squares: 22² + 115²
As consecutive integers: 6,854 + 6,855

Representations

In words
thirteen thousand seven hundred nine
Ordinal
13709th
Binary
11010110001101
Octal
32615
Hexadecimal
0x358D
Base64
NY0=
One's complement
51,826 (16-bit)
In other bases
ternary (3) 200210202
quaternary (4) 3112031
quinary (5) 414314
senary (6) 143245
septenary (7) 54653
nonary (9) 20722
undecimal (11) a333
duodecimal (12) 7b25
tridecimal (13) 6317
tetradecimal (14) 4dd3
pentadecimal (15) 40de

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψθʹ
Mayan (base 20)
𝋡·𝋮·𝋥·𝋩
Chinese
一萬三千七百零九
Chinese (financial)
壹萬參仟柒佰零玖
In other modern scripts
Eastern Arabic ١٣٧٠٩ Devanagari १३७०९ Bengali ১৩৭০৯ Tamil ௧௩௭௦௯ Thai ๑๓๗๐๙ Tibetan ༡༣༧༠༩ Khmer ១៣៧០៩ Lao ໑໓໗໐໙ Burmese ၁၃၇၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,709 = 3
e — Euler's number (e)
Digit 13,709 = 1
φ — Golden ratio (φ)
Digit 13,709 = 9
√2 — Pythagoras's (√2)
Digit 13,709 = 9
ln 2 — Natural log of 2
Digit 13,709 = 2
γ — Euler-Mascheroni (γ)
Digit 13,709 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,697 (gap of 12)
  • Next prime: 13,711 (gap of 2)

Pair status: twin with 13711.

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

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

Hex color
#00358D
RGB(0, 53, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.141.

Address
0.0.53.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.141

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000013709
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 13709 first appears in π at position 16,051 of the decimal expansion (the 16,051ordinal-suffix:st 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.