number.wiki
Live analysis

13,359

13,359 is a composite number, odd.

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.).

13,359 (thirteen thousand three hundred fifty-nine) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 61 × 73. Written other ways, in hexadecimal, 0x342F.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
21
Digit product
405
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
95,331
Recamán's sequence
a(47,557) = 13,359
Square (n²)
178,462,881
Cube (n³)
2,384,085,627,279
Divisor count
8
σ(n) — sum of divisors
18,352
φ(n) — Euler's totient
8,640
Sum of prime factors
137

Primality

Prime factorization: 3 × 61 × 73

Nearest primes: 13,339 (−20) · 13,367 (+8)

Divisors & multiples

All divisors (8)
1 · 3 · 61 · 73 · 183 · 219 · 4453 · 13359
Aliquot sum (sum of proper divisors): 4,993
Factor pairs (a × b = 13,359)
1 × 13359
3 × 4453
61 × 219
73 × 183
First multiples
13,359 · 26,718 (double) · 40,077 · 53,436 · 66,795 · 80,154 · 93,513 · 106,872 · 120,231 · 133,590

Sums & aliquot sequence

As consecutive integers: 6,679 + 6,680 4,452 + 4,453 + 4,454 2,224 + 2,225 + 2,226 + 2,227 + 2,228 + 2,229 189 + 190 + … + 249
Aliquot sequence: 13,359 4,993 1 0 — terminates at zero

Continued fraction of √n

√13,359 = [115; (1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 230)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand three hundred fifty-nine
Ordinal
13359th
Binary
11010000101111
Octal
32057
Hexadecimal
0x342F
Base64
NC8=
One's complement
52,176 (16-bit)
Scientific notation
1.3359 × 10⁴
As a duration
13,359 s = 3 hours, 42 minutes, 39 seconds
In other bases
ternary (3) 200022210
quaternary (4) 3100233
quinary (5) 411414
senary (6) 141503
septenary (7) 53643
nonary (9) 20283
undecimal (11) a045
duodecimal (12) 7893
tridecimal (13) 6108
tetradecimal (14) 4c23
pentadecimal (15) 3e59

As an angle

13,359° = 37 × 360° + 39°
39° ≈ 0.681 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτνθʹ
Mayan (base 20)
𝋡·𝋭·𝋧·𝋳
Chinese
一萬三千三百五十九
Chinese (financial)
壹萬參仟參佰伍拾玖
In other modern scripts
Eastern Arabic ١٣٣٥٩ Devanagari १३३५९ Bengali ১৩৩৫৯ Tamil ௧௩௩௫௯ Thai ๑๓๓๕๙ Tibetan ༡༣༣༥༩ Khmer ១៣៣៥៩ Lao ໑໓໓໕໙ Burmese ၁၃၃၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,359 = 8
e — Euler's number (e)
Digit 13,359 = 9
φ — Golden ratio (φ)
Digit 13,359 = 6
√2 — Pythagoras's (√2)
Digit 13,359 = 8
ln 2 — Natural log of 2
Digit 13,359 = 6
γ — Euler-Mascheroni (γ)
Digit 13,359 = 0

Also seen as

Unicode codepoint
CJK Unified Ideograph-342F
U+342F
Other letter (Lo)

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

Hex color
#00342F
RGB(0, 52, 47)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.47.

Address
0.0.52.47
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.47

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

Musical pitch

Heard as a frequency, 13,359 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +9¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +47¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +10¢)
Position in π

The digit sequence 13359 first appears in π at position 62,449 of the decimal expansion (the 62,449ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.