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Number

13,397

13,397 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
567
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
79,331
Recamán's sequence
a(47,481) = 13,397
Square (n²)
179,479,609
Cube (n³)
2,404,488,321,773
Divisor count
2
σ(n) — sum of divisors
13,398
φ(n) — Euler's totient
13,396

Primality

13,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,397)
1 × 13397
First multiples
13,397 · 26,794 (double) · 40,191 · 53,588 · 66,985 · 80,382 · 93,779 · 107,176 · 120,573 · 133,970

Sums & aliquot sequence

As a sum of two squares: 74² + 89²
As consecutive integers: 6,698 + 6,699

Representations

In words
thirteen thousand three hundred ninety-seven
Ordinal
13397th
Binary
11010001010101
Octal
32125
Hexadecimal
0x3455
Base64
NFU=
One's complement
52,138 (16-bit)
In other bases
ternary (3) 200101012
quaternary (4) 3101111
quinary (5) 412042
senary (6) 142005
septenary (7) 54026
nonary (9) 20335
undecimal (11) a07a
duodecimal (12) 7905
tridecimal (13) 6137
tetradecimal (14) 4c4d
pentadecimal (15) 3e82

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτϟζʹ
Mayan (base 20)
𝋡·𝋭·𝋩·𝋱
Chinese
一萬三千三百九十七
Chinese (financial)
壹萬參仟參佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٣٩٧ Devanagari १३३९७ Bengali ১৩৩৯৭ Tamil ௧௩௩௯௭ Thai ๑๓๓๙๗ Tibetan ༡༣༣༩༧ Khmer ១៣៣៩៧ Lao ໑໓໓໙໗ Burmese ၁၃၃၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,397 = 7
e — Euler's number (e)
Digit 13,397 = 7
φ — Golden ratio (φ)
Digit 13,397 = 3
√2 — Pythagoras's (√2)
Digit 13,397 = 3
ln 2 — Natural log of 2
Digit 13,397 = 6
γ — Euler-Mascheroni (γ)
Digit 13,397 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,381 (gap of 16)
  • Next prime: 13,399 (gap of 2)

Pair status: twin with 13399.

Unicode codepoint
CJK Unified Ideograph-3455
U+3455
Other letter (Lo)

UTF-8 encoding: E3 91 95 (3 bytes).

Hex color
#003455
RGB(0, 52, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.85.

Address
0.0.52.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.85

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

Position in π

The digit sequence 13397 first appears in π at position 48,484 of the decimal expansion (the 48,484ordinal-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.