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Number

13,457

13,457 is a prime, odd.

13,457 (thirteen thousand four hundred fifty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3491.

Arithmetic Number Ascending Digits Balanced Prime Chen Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
75,431
Recamán's sequence
a(47,361) = 13,457
Square (n²)
181,090,849
Cube (n³)
2,436,939,554,993
Divisor count
2
σ(n) — sum of divisors
13,458
φ(n) — Euler's totient
13,456

Primality

13,457 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13457
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,457)
1 × 13457
First multiples
13,457 · 26,914 (double) · 40,371 · 53,828 · 67,285 · 80,742 · 94,199 · 107,656 · 121,113 · 134,570

Sums & aliquot sequence

As a sum of two squares: 1² + 116²
As consecutive integers: 6,728 + 6,729

Continued fraction of √n

√13,457 = [116; (232)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand four hundred fifty-seven
Ordinal
13457th
Binary
11010010010001
Octal
32221
Hexadecimal
0x3491
Base64
NJE=
One's complement
52,078 (16-bit)
Scientific notation
1.3457 × 10⁴
As a duration
13,457 s = 3 hours, 44 minutes, 17 seconds
In other bases
ternary (3) 200110102
quaternary (4) 3102101
quinary (5) 412312
senary (6) 142145
septenary (7) 54143
nonary (9) 20412
undecimal (11) a124
duodecimal (12) 7955
tridecimal (13) 6182
tetradecimal (14) 4c93
pentadecimal (15) 3ec2

As an angle

13,457° = 37 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγυνζʹ
Mayan (base 20)
𝋡·𝋭·𝋬·𝋱
Chinese
一萬三千四百五十七
Chinese (financial)
壹萬參仟肆佰伍拾柒
In other modern scripts
Eastern Arabic ١٣٤٥٧ Devanagari १३४५७ Bengali ১৩৪৫৭ Tamil ௧௩௪௫௭ Thai ๑๓๔๕๗ Tibetan ༡༣༤༥༧ Khmer ១៣៤៥៧ Lao ໑໓໔໕໗ Burmese ၁၃၄၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,457 = 4
e — Euler's number (e)
Digit 13,457 = 3
φ — Golden ratio (φ)
Digit 13,457 = 2
√2 — Pythagoras's (√2)
Digit 13,457 = 6
ln 2 — Natural log of 2
Digit 13,457 = 3
γ — Euler-Mascheroni (γ)
Digit 13,457 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,451 (gap of 6)
  • Next prime: 13,463 (gap of 6)

Pair status: sexy with 13451, sexy with 13463.

Unicode codepoint
CJK Unified Ideograph-3491
U+3491
Other letter (Lo)

UTF-8 encoding: E3 92 91 (3 bytes).

Hex color
#003491
RGB(0, 52, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.145.

Address
0.0.52.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.145

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

Musical pitch

Heard as a frequency, 13,457 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +22¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -41¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +23¢)
Position in π

The digit sequence 13457 first appears in π at position 86,758 of the decimal expansion (the 86,758ordinal-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.