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Number

14,033

14,033 is a prime, odd.

14,033 (fourteen thousand thirty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x36D1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
33,041
Recamán's sequence
a(20,650) = 14,033
Square (n²)
196,925,089
Cube (n³)
2,763,449,773,937
Divisor count
2
σ(n) — sum of divisors
14,034
φ(n) — Euler's totient
14,032

Primality

14,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,033)
1 × 14033
First multiples
14,033 · 28,066 (double) · 42,099 · 56,132 · 70,165 · 84,198 · 98,231 · 112,264 · 126,297 · 140,330

Sums & aliquot sequence

As a sum of two squares: 68² + 97²
As consecutive integers: 7,016 + 7,017

Continued fraction of √n

√14,033 = [118; (2, 5, 1, 9, 2, 5, 29, 2, 3, 4, 1, 3, 13, 1, 2, 14, 2, 6, 1, 11, 1, 1, 1, 1, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand thirty-three
Ordinal
14033rd
Binary
11011011010001
Octal
33321
Hexadecimal
0x36D1
Base64
NtE=
One's complement
51,502 (16-bit)
Scientific notation
1.4033 × 10⁴
As a duration
14,033 s = 3 hours, 53 minutes, 53 seconds
In other bases
ternary (3) 201020202
quaternary (4) 3123101
quinary (5) 422113
senary (6) 144545
septenary (7) 55625
nonary (9) 21222
undecimal (11) a5a8
duodecimal (12) 8155
tridecimal (13) 6506
tetradecimal (14) 5185
pentadecimal (15) 4258

As an angle

14,033° = 38 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιδλγʹ
Mayan (base 20)
𝋡·𝋯·𝋡·𝋭
Chinese
一萬四千零三十三
Chinese (financial)
壹萬肆仟零參拾參
In other modern scripts
Eastern Arabic ١٤٠٣٣ Devanagari १४०३३ Bengali ১৪০৩৩ Tamil ௧௪௦௩௩ Thai ๑๔๐๓๓ Tibetan ༡༤༠༣༣ Khmer ១៤០៣៣ Lao ໑໔໐໓໓ Burmese ၁၄၀၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 14,033 = 7
e — Euler's number (e)
Digit 14,033 = 0
φ — Golden ratio (φ)
Digit 14,033 = 0
√2 — Pythagoras's (√2)
Digit 14,033 = 4
ln 2 — Natural log of 2
Digit 14,033 = 4
γ — Euler-Mascheroni (γ)
Digit 14,033 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,029 (gap of 4)
  • Next prime: 14,051 (gap of 18)

Pair status: cousin with 14029.

Unicode codepoint
CJK Unified Ideograph-36D1
U+36D1
Other letter (Lo)

UTF-8 encoding: E3 9B 91 (3 bytes).

Hex color
#0036D1
RGB(0, 54, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.209.

Address
0.0.54.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.209

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

Musical pitch

Heard as a frequency, 14,033 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -6¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +32¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -5¢)
Position in π

The digit sequence 14033 first appears in π at position 129,003 of the decimal expansion (the 129,003ordinal-suffix:rd 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.