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Number

14,153

14,153 is a prime, odd.

14,153 (fourteen thousand one hundred fifty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3749.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean 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
35,141
Recamán's sequence
a(20,410) = 14,153
Square (n²)
200,307,409
Cube (n³)
2,834,950,759,577
Divisor count
2
σ(n) — sum of divisors
14,154
φ(n) — Euler's totient
14,152

Primality

14,153 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14153
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,153)
1 × 14153
First multiples
14,153 · 28,306 (double) · 42,459 · 56,612 · 70,765 · 84,918 · 99,071 · 113,224 · 127,377 · 141,530

Sums & aliquot sequence

As a sum of two squares: 52² + 107²
As consecutive integers: 7,076 + 7,077

Continued fraction of √n

√14,153 = [118; (1, 28, 1, 2, 1, 14, 8, 7, 3, 4, 1, 2, 1, 9, 1, 1, 1, 1, 4, 1, 13, 5, 1, 2, …)]

Representations

In words
fourteen thousand one hundred fifty-three
Ordinal
14153rd
Binary
11011101001001
Octal
33511
Hexadecimal
0x3749
Base64
N0k=
One's complement
51,382 (16-bit)
Scientific notation
1.4153 × 10⁴
As a duration
14,153 s = 3 hours, 55 minutes, 53 seconds
In other bases
ternary (3) 201102012
quaternary (4) 3131021
quinary (5) 423103
senary (6) 145305
septenary (7) 56156
nonary (9) 21365
undecimal (11) a6a7
duodecimal (12) 8235
tridecimal (13) 6599
tetradecimal (14) 522d
pentadecimal (15) 42d8

As an angle

14,153° = 39 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιδρνγʹ
Mayan (base 20)
𝋡·𝋯·𝋧·𝋭
Chinese
一萬四千一百五十三
Chinese (financial)
壹萬肆仟壹佰伍拾參
In other modern scripts
Eastern Arabic ١٤١٥٣ Devanagari १४१५३ Bengali ১৪১৫৩ Tamil ௧௪௧௫௩ Thai ๑๔๑๕๓ Tibetan ༡༤༡༥༣ Khmer ១៤១៥៣ Lao ໑໔໑໕໓ Burmese ၁၄၁၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 14,153 = 0
e — Euler's number (e)
Digit 14,153 = 5
φ — Golden ratio (φ)
Digit 14,153 = 7
√2 — Pythagoras's (√2)
Digit 14,153 = 8
ln 2 — Natural log of 2
Digit 14,153 = 0
γ — Euler-Mascheroni (γ)
Digit 14,153 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,149 (gap of 4)
  • Next prime: 14,159 (gap of 6)

Pair status: cousin with 14149, sexy with 14159.

Unicode codepoint
CJK Unified Ideograph-3749
U+3749
Other letter (Lo)

UTF-8 encoding: E3 9D 89 (3 bytes).

Hex color
#003749
RGB(0, 55, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.55.73.

Address
0.0.55.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.55.73

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

Musical pitch

Heard as a frequency, 14,153 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +9¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +47¢ — about midway to A♯9)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +10¢)
Position in π

The digit sequence 14153 first appears in π at position 29,136 of the decimal expansion (the 29,136ordinal-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.