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Number

14,561

14,561 is a prime, odd.

14,561 (fourteen thousand five hundred sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x38E1.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
120
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
16,541
Recamán's sequence
a(321,114) = 14,561
Square (n²)
212,022,721
Cube (n³)
3,087,262,840,481
Divisor count
2
σ(n) — sum of divisors
14,562
φ(n) — Euler's totient
14,560

Primality

14,561 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14561
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,561)
1 × 14561
First multiples
14,561 · 29,122 (double) · 43,683 · 58,244 · 72,805 · 87,366 · 101,927 · 116,488 · 131,049 · 145,610

Sums & aliquot sequence

As a sum of two squares: 20² + 119²
As consecutive integers: 7,280 + 7,281

Continued fraction of √n

√14,561 = [120; (1, 2, 47, 1, 14, 9, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 6, 1, 1, 1, 1, 1, 2, 34, …)]

Representations

In words
fourteen thousand five hundred sixty-one
Ordinal
14561st
Binary
11100011100001
Octal
34341
Hexadecimal
0x38E1
Base64
OOE=
One's complement
50,974 (16-bit)
Scientific notation
1.4561 × 10⁴
As a duration
14,561 s = 4 hours, 2 minutes, 41 seconds
In other bases
ternary (3) 201222022
quaternary (4) 3203201
quinary (5) 431221
senary (6) 151225
septenary (7) 60311
nonary (9) 21868
undecimal (11) aa38
duodecimal (12) 8515
tridecimal (13) 6821
tetradecimal (14) 5441
pentadecimal (15) 44ab

As an angle

14,561° = 40 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιδφξαʹ
Mayan (base 20)
𝋡·𝋰·𝋨·𝋡
Chinese
一萬四千五百六十一
Chinese (financial)
壹萬肆仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ١٤٥٦١ Devanagari १४५६१ Bengali ১৪৫৬১ Tamil ௧௪௫௬௧ Thai ๑๔๕๖๑ Tibetan ༡༤༥༦༡ Khmer ១៤៥៦១ Lao ໑໔໕໖໑ Burmese ၁၄၅၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 14,561 = 0
e — Euler's number (e)
Digit 14,561 = 0
φ — Golden ratio (φ)
Digit 14,561 = 8
√2 — Pythagoras's (√2)
Digit 14,561 = 8
ln 2 — Natural log of 2
Digit 14,561 = 6
γ — Euler-Mascheroni (γ)
Digit 14,561 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,557 (gap of 4)
  • Next prime: 14,563 (gap of 2)

Pair status: twin with 14563, cousin with 14557.

Unicode codepoint
CJK Unified Ideograph-38E1
U+38E1
Other letter (Lo)

UTF-8 encoding: E3 A3 A1 (3 bytes).

Hex color
#0038E1
RGB(0, 56, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.56.225.

Address
0.0.56.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.56.225

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

Musical pitch

Heard as a frequency, 14,561 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, -42¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, -4¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, -41¢)
Position in π

The digit sequence 14561 first appears in π at position 152,686 of the decimal expansion (the 152,686ordinal-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.