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Number

14,741

14,741 is a prime, odd.

14,741 (fourteen thousand seven hundred forty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x3995.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Palindrome Palindromic Prime Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
112
Digital root
8
Palindrome
Yes
Bit width
14 bits
Square (n²)
217,297,081
Cube (n³)
3,203,176,271,021
Divisor count
2
σ(n) — sum of divisors
14,742
φ(n) — Euler's totient
14,740

Primality

14,741 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14741
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,741)
1 × 14741
First multiples
14,741 · 29,482 (double) · 44,223 · 58,964 · 73,705 · 88,446 · 103,187 · 117,928 · 132,669 · 147,410

Sums & aliquot sequence

As a sum of two squares: 10² + 121²
As consecutive integers: 7,370 + 7,371

Continued fraction of √n

√14,741 = [121; (2, 2, 2, 1, 3, 1, 7, 21, 1, 17, 1, 2, 1, 1, 1, 1, 1, 11, 1, 1, 11, 1, 1, 1, …)]

Period length 39 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand seven hundred forty-one
Ordinal
14741st
Binary
11100110010101
Octal
34625
Hexadecimal
0x3995
Base64
OZU=
One's complement
50,794 (16-bit)
Scientific notation
1.4741 × 10⁴
As a duration
14,741 s = 4 hours, 5 minutes, 41 seconds
In other bases
ternary (3) 202012222
quaternary (4) 3212111
quinary (5) 432431
senary (6) 152125
septenary (7) 60656
nonary (9) 22188
undecimal (11) 10091
duodecimal (12) 8645
tridecimal (13) 692c
tetradecimal (14) 552d
pentadecimal (15) 457b

As an angle

14,741° = 40 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιδψμαʹ
Mayan (base 20)
𝋡·𝋰·𝋱·𝋡
Chinese
一萬四千七百四十一
Chinese (financial)
壹萬肆仟柒佰肆拾壹
In other modern scripts
Eastern Arabic ١٤٧٤١ Devanagari १४७४१ Bengali ১৪৭৪১ Tamil ௧௪௭௪௧ Thai ๑๔๗๔๑ Tibetan ༡༤༧༤༡ Khmer ១៤៧៤១ Lao ໑໔໗໔໑ Burmese ၁၄၇၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 14,741 = 1
e — Euler's number (e)
Digit 14,741 = 0
φ — Golden ratio (φ)
Digit 14,741 = 2
√2 — Pythagoras's (√2)
Digit 14,741 = 6
ln 2 — Natural log of 2
Digit 14,741 = 1
γ — Euler-Mascheroni (γ)
Digit 14,741 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,737 (gap of 4)
  • Next prime: 14,747 (gap of 6)

Pair status: cousin with 14737, sexy with 14747.

Unicode codepoint
CJK Unified Ideograph-3995
U+3995
Other letter (Lo)

UTF-8 encoding: E3 A6 95 (3 bytes).

Hex color
#003995
RGB(0, 57, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.57.149.

Address
0.0.57.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.57.149

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

Musical pitch

Heard as a frequency, 14,741 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, -21¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +17¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, -19¢)
Position in π

The digit sequence 14741 first appears in π at position 183,115 of the decimal expansion (the 183,115ordinal-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.