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Number

14,747

14,747 is a prime, odd.

14,747 (fourteen thousand seven hundred forty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x399B.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Odious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
784
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
74,741
Square (n²)
217,474,009
Cube (n³)
3,207,089,210,723
Divisor count
2
σ(n) — sum of divisors
14,748
φ(n) — Euler's totient
14,746

Primality

14,747 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14747
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,747)
1 × 14747
First multiples
14,747 · 29,494 (double) · 44,241 · 58,988 · 73,735 · 88,482 · 103,229 · 117,976 · 132,723 · 147,470

Sums & aliquot sequence

As consecutive integers: 7,373 + 7,374

Continued fraction of √n

√14,747 = [121; (2, 3, 2, 13, 1, 5, 1, 1, 1, 2, 1, 2, 10, 5, 5, 2, 4, 1, 2, 2, 6, 1, 2, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand seven hundred forty-seven
Ordinal
14747th
Binary
11100110011011
Octal
34633
Hexadecimal
0x399B
Base64
OZs=
One's complement
50,788 (16-bit)
Scientific notation
1.4747 × 10⁴
As a duration
14,747 s = 4 hours, 5 minutes, 47 seconds
In other bases
ternary (3) 202020012
quaternary (4) 3212123
quinary (5) 432442
senary (6) 152135
septenary (7) 60665
nonary (9) 22205
undecimal (11) 10097
duodecimal (12) 864b
tridecimal (13) 6935
tetradecimal (14) 5535
pentadecimal (15) 4582
Palindromic in base 4

As an angle

14,747° = 40 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδψμζʹ
Mayan (base 20)
𝋡·𝋰·𝋱·𝋧
Chinese
一萬四千七百四十七
Chinese (financial)
壹萬肆仟柒佰肆拾柒
In other modern scripts
Eastern Arabic ١٤٧٤٧ Devanagari १४७४७ Bengali ১৪৭৪৭ Tamil ௧௪௭௪௭ Thai ๑๔๗๔๗ Tibetan ༡༤༧༤༧ Khmer ១៤៧៤៧ Lao ໑໔໗໔໗ Burmese ၁၄၇၄၇

Digit at this position in famous constants

π — Pi (π)
Digit 14,747 = 8
e — Euler's number (e)
Digit 14,747 = 9
φ — Golden ratio (φ)
Digit 14,747 = 4
√2 — Pythagoras's (√2)
Digit 14,747 = 5
ln 2 — Natural log of 2
Digit 14,747 = 4
γ — Euler-Mascheroni (γ)
Digit 14,747 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,741 (gap of 6)
  • Next prime: 14,753 (gap of 6)

Pair status: sexy with 14741, sexy with 14753.

Unicode codepoint
CJK Unified Ideograph-399B
U+399B
Other letter (Lo)

UTF-8 encoding: E3 A6 9B (3 bytes).

Hex color
#00399B
RGB(0, 57, 155)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.57.155.

Address
0.0.57.155
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.57.155

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

Musical pitch

Heard as a frequency, 14,747 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, -20¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, -19¢)
Position in π

The digit sequence 14747 first appears in π at position 79,506 of the decimal expansion (the 79,506ordinal-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.