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13,371

13,371 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.).

13,371 (thirteen thousand three hundred seventy-one) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 3 × 4,457. Written other ways, in hexadecimal, 0x343B.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
15
Digit product
63
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
17,331
Recamán's sequence
a(47,533) = 13,371
Square (n²)
178,783,641
Cube (n³)
2,390,516,063,811
Divisor count
4
σ(n) — sum of divisors
17,832
φ(n) — Euler's totient
8,912
Sum of prime factors
4,460

Primality

Prime factorization: 3 × 4457

Nearest primes: 13,367 (−4) · 13,381 (+10)

Divisors & multiples

All divisors (4)
1 · 3 · 4457 · 13371
Aliquot sum (sum of proper divisors): 4,461
Factor pairs (a × b = 13,371)
1 × 13371
3 × 4457
First multiples
13,371 · 26,742 (double) · 40,113 · 53,484 · 66,855 · 80,226 · 93,597 · 106,968 · 120,339 · 133,710

Sums & aliquot sequence

As consecutive integers: 6,685 + 6,686 4,456 + 4,457 + 4,458 2,226 + 2,227 + 2,228 + 2,229 + 2,230 + 2,231
Aliquot sequence: 13,371 4,461 1,491 813 275 97 1 0 — terminates at zero

Continued fraction of √n

√13,371 = [115; (1, 1, 1, 2, 1, 1, 1, 3, 6, 3, 115, 3, 6, 3, 1, 1, 1, 2, 1, 1, 1, 230)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand three hundred seventy-one
Ordinal
13371st
Binary
11010000111011
Octal
32073
Hexadecimal
0x343B
Base64
NDs=
One's complement
52,164 (16-bit)
Scientific notation
1.3371 × 10⁴
As a duration
13,371 s = 3 hours, 42 minutes, 51 seconds
In other bases
ternary (3) 200100020
quaternary (4) 3100323
quinary (5) 411441
senary (6) 141523
septenary (7) 53661
nonary (9) 20306
undecimal (11) a056
duodecimal (12) 78a3
tridecimal (13) 6117
tetradecimal (14) 4c31
pentadecimal (15) 3e66

As an angle

13,371° = 37 × 360° + 51°
51° ≈ 0.89 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγτοαʹ
Mayan (base 20)
𝋡·𝋭·𝋨·𝋫
Chinese
一萬三千三百七十一
Chinese (financial)
壹萬參仟參佰柒拾壹
In other modern scripts
Eastern Arabic ١٣٣٧١ Devanagari १३३७१ Bengali ১৩৩৭১ Tamil ௧௩௩௭௧ Thai ๑๓๓๗๑ Tibetan ༡༣༣༧༡ Khmer ១៣៣៧១ Lao ໑໓໓໗໑ Burmese ၁၃၃၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,371 = 5
e — Euler's number (e)
Digit 13,371 = 5
φ — Golden ratio (φ)
Digit 13,371 = 5
√2 — Pythagoras's (√2)
Digit 13,371 = 1
ln 2 — Natural log of 2
Digit 13,371 = 5
γ — Euler-Mascheroni (γ)
Digit 13,371 = 3

Also seen as

Unicode codepoint
CJK Unified Ideograph-343B
U+343B
Other letter (Lo)

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

Hex color
#00343B
RGB(0, 52, 59)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.59.

Address
0.0.52.59
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.59

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

Musical pitch

Heard as a frequency, 13,371 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +11¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +48¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +12¢)
Position in π

The digit sequence 13371 first appears in π at position 7,184 of the decimal expansion (the 7,184ordinal-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°.