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Number

13,399

13,399 is a prime, odd.

13,399 (thirteen thousand three hundred ninety-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3457.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
25
Digit product
729
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
99,331
Recamán's sequence
a(47,477) = 13,399
Square (n²)
179,533,201
Cube (n³)
2,405,565,360,199
Divisor count
2
σ(n) — sum of divisors
13,400
φ(n) — Euler's totient
13,398

Primality

13,399 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13399
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,399)
1 × 13399
First multiples
13,399 · 26,798 (double) · 40,197 · 53,596 · 66,995 · 80,394 · 93,793 · 107,192 · 120,591 · 133,990

Sums & aliquot sequence

As consecutive integers: 6,699 + 6,700

Continued fraction of √n

√13,399 = [115; (1, 3, 15, 5, 2, 4, 5, 1, 2, 2, 7, 3, 2, 2, 1, 12, 6, 1, 1, 6, 2, 10, 1, 1, …)]

Representations

In words
thirteen thousand three hundred ninety-nine
Ordinal
13399th
Binary
11010001010111
Octal
32127
Hexadecimal
0x3457
Base64
NFc=
One's complement
52,136 (16-bit)
Scientific notation
1.3399 × 10⁴
As a duration
13,399 s = 3 hours, 43 minutes, 19 seconds
In other bases
ternary (3) 200101021
quaternary (4) 3101113
quinary (5) 412044
senary (6) 142011
septenary (7) 54031
nonary (9) 20337
undecimal (11) a081
duodecimal (12) 7907
tridecimal (13) 6139
tetradecimal (14) 4c51
pentadecimal (15) 3e84

As an angle

13,399° = 37 × 360° + 79°
79° ≈ 1.379 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτϟθʹ
Mayan (base 20)
𝋡·𝋭·𝋩·𝋳
Chinese
一萬三千三百九十九
Chinese (financial)
壹萬參仟參佰玖拾玖
In other modern scripts
Eastern Arabic ١٣٣٩٩ Devanagari १३३९९ Bengali ১৩৩৯৯ Tamil ௧௩௩௯௯ Thai ๑๓๓๙๙ Tibetan ༡༣༣༩༩ Khmer ១៣៣៩៩ Lao ໑໓໓໙໙ Burmese ၁၃၃၉၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,399 = 5
e — Euler's number (e)
Digit 13,399 = 6
φ — Golden ratio (φ)
Digit 13,399 = 2
√2 — Pythagoras's (√2)
Digit 13,399 = 8
ln 2 — Natural log of 2
Digit 13,399 = 4
γ — Euler-Mascheroni (γ)
Digit 13,399 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,397 (gap of 2)
  • Next prime: 13,411 (gap of 12)

Pair status: twin with 13397.

Unicode codepoint
CJK Unified Ideograph-3457
U+3457
Other letter (Lo)

UTF-8 encoding: E3 91 97 (3 bytes).

Hex color
#003457
RGB(0, 52, 87)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.87.

Address
0.0.52.87
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.87

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

Musical pitch

Heard as a frequency, 13,399 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -48¢ — about midway to G♯9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +15¢)
Position in π

The digit sequence 13399 first appears in π at position 459,201 of the decimal expansion (the 459,201ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.