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Number

13,451

13,451 is a prime, odd.

13,451 (thirteen thousand four hundred fifty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x348B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
15,431
Recamán's sequence
a(47,373) = 13,451
Square (n²)
180,929,401
Cube (n³)
2,433,681,372,851
Divisor count
2
σ(n) — sum of divisors
13,452
φ(n) — Euler's totient
13,450

Primality

13,451 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13451
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,451)
1 × 13451
First multiples
13,451 · 26,902 (double) · 40,353 · 53,804 · 67,255 · 80,706 · 94,157 · 107,608 · 121,059 · 134,510

Sums & aliquot sequence

As consecutive integers: 6,725 + 6,726

Continued fraction of √n

√13,451 = [115; (1, 45, 2, 1, 1, 8, 1, 2, 8, 1, 1, 2, 1, 3, 1, 1, 1, 15, 1, 12, 1, 2, 2, 1, …)]

Representations

In words
thirteen thousand four hundred fifty-one
Ordinal
13451st
Binary
11010010001011
Octal
32213
Hexadecimal
0x348B
Base64
NIs=
One's complement
52,084 (16-bit)
Scientific notation
1.3451 × 10⁴
As a duration
13,451 s = 3 hours, 44 minutes, 11 seconds
In other bases
ternary (3) 200110012
quaternary (4) 3102023
quinary (5) 412301
senary (6) 142135
septenary (7) 54134
nonary (9) 20405
undecimal (11) a119
duodecimal (12) 794b
tridecimal (13) 6179
tetradecimal (14) 4c8b
pentadecimal (15) 3ebb

As an angle

13,451° = 37 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγυναʹ
Mayan (base 20)
𝋡·𝋭·𝋬·𝋫
Chinese
一萬三千四百五十一
Chinese (financial)
壹萬參仟肆佰伍拾壹
In other modern scripts
Eastern Arabic ١٣٤٥١ Devanagari १३४५१ Bengali ১৩৪৫১ Tamil ௧௩௪௫௧ Thai ๑๓๔๕๑ Tibetan ༡༣༤༥༡ Khmer ១៣៤៥១ Lao ໑໓໔໕໑ Burmese ၁၃၄၅၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,451 = 3
e — Euler's number (e)
Digit 13,451 = 2
φ — Golden ratio (φ)
Digit 13,451 = 2
√2 — Pythagoras's (√2)
Digit 13,451 = 8
ln 2 — Natural log of 2
Digit 13,451 = 1
γ — Euler-Mascheroni (γ)
Digit 13,451 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,441 (gap of 10)
  • Next prime: 13,457 (gap of 6)

Pair status: sexy with 13457.

Unicode codepoint
CJK Unified Ideograph-348B
U+348B
Other letter (Lo)

UTF-8 encoding: E3 92 8B (3 bytes).

Hex color
#00348B
RGB(0, 52, 139)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.139.

Address
0.0.52.139
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.139

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

Musical pitch

Heard as a frequency, 13,451 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +21¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -41¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +22¢)
Position in π

The digit sequence 13451 first appears in π at position 82,488 of the decimal expansion (the 82,488ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.