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13,351

13,351 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.).

13,351 (thirteen thousand three hundred fifty-one) is an odd 5-digit number. It is a composite number with 6 divisors, and factors as 13² × 79. Written other ways, in hexadecimal, 0x3427.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
45
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
15,331
Recamán's sequence
a(47,573) = 13,351
Square (n²)
178,249,201
Cube (n³)
2,379,805,082,551
Divisor count
6
σ(n) — sum of divisors
14,640
φ(n) — Euler's totient
12,168
Sum of prime factors
105

Primality

Prime factorization: 13 2 × 79

Nearest primes: 13,339 (−12) · 13,367 (+16)

Divisors & multiples

All divisors (6)
1 · 13 · 79 · 169 · 1027 · 13351
Aliquot sum (sum of proper divisors): 1,289
Factor pairs (a × b = 13,351)
1 × 13351
13 × 1027
79 × 169
First multiples
13,351 · 26,702 (double) · 40,053 · 53,404 · 66,755 · 80,106 · 93,457 · 106,808 · 120,159 · 133,510

Sums & aliquot sequence

As consecutive integers: 6,675 + 6,676 1,021 + 1,022 + … + 1,033 501 + 502 + … + 526 130 + 131 + … + 208
Aliquot sequence: 13,351 1,289 1 0 — terminates at zero

Continued fraction of √n

√13,351 = [115; (1, 1, 4, 1, 6, 1, 7, 1, 2, 5, 6, 2, 2, 2, 6, 5, 2, 1, 7, 1, 6, 1, 4, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand three hundred fifty-one
Ordinal
13351st
Binary
11010000100111
Octal
32047
Hexadecimal
0x3427
Base64
NCc=
One's complement
52,184 (16-bit)
Scientific notation
1.3351 × 10⁴
As a duration
13,351 s = 3 hours, 42 minutes, 31 seconds
In other bases
ternary (3) 200022111
quaternary (4) 3100213
quinary (5) 411401
senary (6) 141451
septenary (7) 53632
nonary (9) 20274
undecimal (11) a038
duodecimal (12) 7887
tridecimal (13) 6100
tetradecimal (14) 4c19
pentadecimal (15) 3e51
Palindromic in base 12

As an angle

13,351° = 37 × 360° + 31°
31° ≈ 0.541 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγτναʹ
Mayan (base 20)
𝋡·𝋭·𝋧·𝋫
Chinese
一萬三千三百五十一
Chinese (financial)
壹萬參仟參佰伍拾壹
In other modern scripts
Eastern Arabic ١٣٣٥١ Devanagari १३३५१ Bengali ১৩৩৫১ Tamil ௧௩௩௫௧ Thai ๑๓๓๕๑ Tibetan ༡༣༣༥༡ Khmer ១៣៣៥១ Lao ໑໓໓໕໑ Burmese ၁၃၃၅၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,351 = 4
e — Euler's number (e)
Digit 13,351 = 6
φ — Golden ratio (φ)
Digit 13,351 = 4
√2 — Pythagoras's (√2)
Digit 13,351 = 6
ln 2 — Natural log of 2
Digit 13,351 = 8
γ — Euler-Mascheroni (γ)
Digit 13,351 = 3

Also seen as

Unicode codepoint
CJK Unified Ideograph-3427
U+3427
Other letter (Lo)

UTF-8 encoding: E3 90 A7 (3 bytes).

Hex color
#003427
RGB(0, 52, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.39.

Address
0.0.52.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.39

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

Musical pitch

Heard as a frequency, 13,351 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +8¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +46¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +9¢)
Position in π

The digit sequence 13351 first appears in π at position 85,285 of the decimal expansion (the 85,285ordinal-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