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Number

13,411

13,411 is a prime, odd.

13,411 (thirteen thousand four hundred eleven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3463.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
11,431
Recamán's sequence
a(47,453) = 13,411
Square (n²)
179,854,921
Cube (n³)
2,412,034,345,531
Divisor count
2
σ(n) — sum of divisors
13,412
φ(n) — Euler's totient
13,410

Primality

13,411 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13411
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,411)
1 × 13411
First multiples
13,411 · 26,822 (double) · 40,233 · 53,644 · 67,055 · 80,466 · 93,877 · 107,288 · 120,699 · 134,110

Sums & aliquot sequence

As consecutive integers: 6,705 + 6,706

Continued fraction of √n

√13,411 = [115; (1, 4, 6, 1, 1, 1, 1, 2, 1, 3, 76, 1, 14, 2, 4, 1, 9, 3, 1, 24, 1, 45, 2, 1, …)]

Representations

In words
thirteen thousand four hundred eleven
Ordinal
13411th
Binary
11010001100011
Octal
32143
Hexadecimal
0x3463
Base64
NGM=
One's complement
52,124 (16-bit)
Scientific notation
1.3411 × 10⁴
As a duration
13,411 s = 3 hours, 43 minutes, 31 seconds
In other bases
ternary (3) 200101201
quaternary (4) 3101203
quinary (5) 412121
senary (6) 142031
septenary (7) 54046
nonary (9) 20351
undecimal (11) a092
duodecimal (12) 7917
tridecimal (13) 6148
tetradecimal (14) 4c5d
pentadecimal (15) 3e91

As an angle

13,411° = 37 × 360° + 91°
91° ≈ 1.588 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵ιγυιαʹ
Mayan (base 20)
𝋡·𝋭·𝋪·𝋫
Chinese
一萬三千四百一十一
Chinese (financial)
壹萬參仟肆佰壹拾壹
In other modern scripts
Eastern Arabic ١٣٤١١ Devanagari १३४११ Bengali ১৩৪১১ Tamil ௧௩௪௧௧ Thai ๑๓๔๑๑ Tibetan ༡༣༤༡༡ Khmer ១៣៤១១ Lao ໑໓໔໑໑ Burmese ၁၃၄၁၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,411 = 9
e — Euler's number (e)
Digit 13,411 = 5
φ — Golden ratio (φ)
Digit 13,411 = 1
√2 — Pythagoras's (√2)
Digit 13,411 = 5
ln 2 — Natural log of 2
Digit 13,411 = 7
γ — Euler-Mascheroni (γ)
Digit 13,411 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,399 (gap of 12)
  • Next prime: 13,417 (gap of 6)

Pair status: sexy with 13417.

Unicode codepoint
CJK Unified Ideograph-3463
U+3463
Other letter (Lo)

UTF-8 encoding: E3 91 A3 (3 bytes).

Hex color
#003463
RGB(0, 52, 99)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.99.

Address
0.0.52.99
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.99

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

Musical pitch

Heard as a frequency, 13,411 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +16¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -47¢ — about midway to G♯9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +17¢)
Position in π

The digit sequence 13411 first appears in π at position 11,187 of the decimal expansion (the 11,187ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.