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Number

12,739

12,739 is a prime, odd.

12,739 (twelve thousand seven hundred thirty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x31C3.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
378
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
93,721
Recamán's sequence
a(48,797) = 12,739
Square (n²)
162,282,121
Cube (n³)
2,067,311,939,419
Divisor count
2
σ(n) — sum of divisors
12,740
φ(n) — Euler's totient
12,738

Primality

12,739 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12739
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,739)
1 × 12739
First multiples
12,739 · 25,478 (double) · 38,217 · 50,956 · 63,695 · 76,434 · 89,173 · 101,912 · 114,651 · 127,390

Sums & aliquot sequence

As consecutive integers: 6,369 + 6,370

Continued fraction of √n

√12,739 = [112; (1, 6, 1, 1, 8, 6, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 21, 1, 74, 3, 2, 5, 1, 2, …)]

Representations

In words
twelve thousand seven hundred thirty-nine
Ordinal
12739th
Binary
11000111000011
Octal
30703
Hexadecimal
0x31C3
Base64
McM=
One's complement
52,796 (16-bit)
Scientific notation
1.2739 × 10⁴
As a duration
12,739 s = 3 hours, 32 minutes, 19 seconds
In other bases
ternary (3) 122110211
quaternary (4) 3013003
quinary (5) 401424
senary (6) 134551
septenary (7) 52066
nonary (9) 18424
undecimal (11) 9631
duodecimal (12) 7457
tridecimal (13) 5a4c
tetradecimal (14) 48dd
pentadecimal (15) 3b94
Palindromic in base 8

As an angle

12,739° = 35 × 360° + 139°
139° ≈ 2.426 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβψλθʹ
Mayan (base 20)
𝋡·𝋫·𝋰·𝋳
Chinese
一萬二千七百三十九
Chinese (financial)
壹萬貳仟柒佰參拾玖
In other modern scripts
Eastern Arabic ١٢٧٣٩ Devanagari १२७३९ Bengali ১২৭৩৯ Tamil ௧௨௭௩௯ Thai ๑๒๗๓๙ Tibetan ༡༢༧༣༩ Khmer ១២៧៣៩ Lao ໑໒໗໓໙ Burmese ၁၂၇၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 12,739 = 4
e — Euler's number (e)
Digit 12,739 = 0
φ — Golden ratio (φ)
Digit 12,739 = 2
√2 — Pythagoras's (√2)
Digit 12,739 = 7
ln 2 — Natural log of 2
Digit 12,739 = 0
γ — Euler-Mascheroni (γ)
Digit 12,739 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,721 (gap of 18)
  • Next prime: 12,743 (gap of 4)

Pair status: cousin with 12743.

Unicode codepoint
CJK Stroke Bxg
U+31C3
Other symbol (So)

UTF-8 encoding: E3 87 83 (3 bytes).

Hex color
#0031C3
RGB(0, 49, 195)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.49.195.

Address
0.0.49.195
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.49.195

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

Musical pitch

Heard as a frequency, 12,739 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, +27¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, -36¢)
  • Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, +28¢)
Position in π

The digit sequence 12739 first appears in π at position 14,404 of the decimal expansion (the 14,404ordinal-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.