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Number

13,327

13,327 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Self Number Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
126
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
72,331
Recamán's sequence
a(47,621) = 13,327
Square (n²)
177,608,929
Cube (n³)
2,366,994,196,783
Divisor count
2
σ(n) — sum of divisors
13,328
φ(n) — Euler's totient
13,326

Primality

13,327 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13327
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,327)
1 × 13327
First multiples
13,327 · 26,654 (double) · 39,981 · 53,308 · 66,635 · 79,962 · 93,289 · 106,616 · 119,943 · 133,270

Sums & aliquot sequence

As consecutive integers: 6,663 + 6,664

Representations

In words
thirteen thousand three hundred twenty-seven
Ordinal
13327th
Binary
11010000001111
Octal
32017
Hexadecimal
0x340F
Base64
NA8=
One's complement
52,208 (16-bit)
In other bases
ternary (3) 200021121
quaternary (4) 3100033
quinary (5) 411302
senary (6) 141411
septenary (7) 53566
nonary (9) 20247
undecimal (11) a016
duodecimal (12) 7867
tridecimal (13) 60b2
tetradecimal (14) 4bdd
pentadecimal (15) 3e37

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτκζʹ
Mayan (base 20)
𝋡·𝋭·𝋦·𝋧
Chinese
一萬三千三百二十七
Chinese (financial)
壹萬參仟參佰貳拾柒
In other modern scripts
Eastern Arabic ١٣٣٢٧ Devanagari १३३२७ Bengali ১৩৩২৭ Tamil ௧௩௩௨௭ Thai ๑๓๓๒๗ Tibetan ༡༣༣༢༧ Khmer ១៣៣២៧ Lao ໑໓໓໒໗ Burmese ၁၃၃၂၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,327 = 4
e — Euler's number (e)
Digit 13,327 = 1
φ — Golden ratio (φ)
Digit 13,327 = 6
√2 — Pythagoras's (√2)
Digit 13,327 = 5
ln 2 — Natural log of 2
Digit 13,327 = 0
γ — Euler-Mascheroni (γ)
Digit 13,327 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,313 (gap of 14)
  • Next prime: 13,331 (gap of 4)

Pair status: cousin with 13331.

Unicode codepoint
CJK Unified Ideograph-340F
U+340F
Other letter (Lo)

UTF-8 encoding: E3 90 8F (3 bytes).

Hex color
#00340F
RGB(0, 52, 15)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.15.

Address
0.0.52.15
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.15

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
000013327
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 13327 first appears in π at position 27,537 of the decimal expansion (the 27,537ordinal-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.