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Number

14,629

14,629 is a prime, odd.

14,629 (fourteen thousand six hundred twenty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3925.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
432
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
92,641
Recamán's sequence
a(46,605) = 14,629
Square (n²)
214,007,641
Cube (n³)
3,130,717,780,189
Divisor count
2
σ(n) — sum of divisors
14,630
φ(n) — Euler's totient
14,628

Primality

14,629 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14629
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,629)
1 × 14629
First multiples
14,629 · 29,258 (double) · 43,887 · 58,516 · 73,145 · 87,774 · 102,403 · 117,032 · 131,661 · 146,290

Sums & aliquot sequence

As a sum of two squares: 65² + 102²
As consecutive integers: 7,314 + 7,315

Continued fraction of √n

√14,629 = [120; (1, 19, 6, 6, 1, 1, 4, 8, 1, 2, 1, 4, 1, 7, 1, 1, 15, 1, 1, 2, 11, 1, 2, 3, …)]

Representations

In words
fourteen thousand six hundred twenty-nine
Ordinal
14629th
Binary
11100100100101
Octal
34445
Hexadecimal
0x3925
Base64
OSU=
One's complement
50,906 (16-bit)
Scientific notation
1.4629 × 10⁴
As a duration
14,629 s = 4 hours, 3 minutes, 49 seconds
In other bases
ternary (3) 202001211
quaternary (4) 3210211
quinary (5) 432004
senary (6) 151421
septenary (7) 60436
nonary (9) 22054
undecimal (11) aa9a
duodecimal (12) 8571
tridecimal (13) 6874
tetradecimal (14) 548d
pentadecimal (15) 4504

As an angle

14,629° = 40 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδχκθʹ
Mayan (base 20)
𝋡·𝋰·𝋫·𝋩
Chinese
一萬四千六百二十九
Chinese (financial)
壹萬肆仟陸佰貳拾玖
In other modern scripts
Eastern Arabic ١٤٦٢٩ Devanagari १४६२९ Bengali ১৪৬২৯ Tamil ௧௪௬௨௯ Thai ๑๔๖๒๙ Tibetan ༡༤༦༢༩ Khmer ១៤៦២៩ Lao ໑໔໖໒໙ Burmese ၁၄၆၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 14,629 = 9
e — Euler's number (e)
Digit 14,629 = 5
φ — Golden ratio (φ)
Digit 14,629 = 4
√2 — Pythagoras's (√2)
Digit 14,629 = 2
ln 2 — Natural log of 2
Digit 14,629 = 5
γ — Euler-Mascheroni (γ)
Digit 14,629 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,627 (gap of 2)
  • Next prime: 14,633 (gap of 4)

Pair status: twin with 14627, cousin with 14633.

Unicode codepoint
CJK Unified Ideograph-3925
U+3925
Other letter (Lo)

UTF-8 encoding: E3 A4 A5 (3 bytes).

Hex color
#003925
RGB(0, 57, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.57.37.

Address
0.0.57.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.57.37

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

Musical pitch

Heard as a frequency, 14,629 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, -34¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +4¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, -33¢)
Position in π

The digit sequence 14629 first appears in π at position 131,120 of the decimal expansion (the 131,120ordinal-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.