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Number

12,941

12,941 is a prime, odd.

12,941 (twelve thousand nine hundred forty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x328D.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
14,921
Recamán's sequence
a(48,393) = 12,941
Square (n²)
167,469,481
Cube (n³)
2,167,222,553,621
Divisor count
2
σ(n) — sum of divisors
12,942
φ(n) — Euler's totient
12,940

Primality

12,941 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12941
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,941)
1 × 12941
First multiples
12,941 · 25,882 (double) · 38,823 · 51,764 · 64,705 · 77,646 · 90,587 · 103,528 · 116,469 · 129,410

Sums & aliquot sequence

As a sum of two squares: 29² + 110²
As consecutive integers: 6,470 + 6,471

Continued fraction of √n

√12,941 = [113; (1, 3, 7, 11, 4, 4, 1, 12, 1, 1, 2, 1, 7, 7, 1, 2, 1, 1, 12, 1, 4, 4, 11, 7, …)]

Period length 27 — the block in parentheses repeats forever.

Representations

In words
twelve thousand nine hundred forty-one
Ordinal
12941st
Binary
11001010001101
Octal
31215
Hexadecimal
0x328D
Base64
Mo0=
One's complement
52,594 (16-bit)
Scientific notation
1.2941 × 10⁴
As a duration
12,941 s = 3 hours, 35 minutes, 41 seconds
In other bases
ternary (3) 122202022
quaternary (4) 3022031
quinary (5) 403231
senary (6) 135525
septenary (7) 52505
nonary (9) 18668
undecimal (11) 97a5
duodecimal (12) 75a5
tridecimal (13) 5b76
tetradecimal (14) 4a05
pentadecimal (15) 3c7b

As an angle

12,941° = 35 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιβϡμαʹ
Mayan (base 20)
𝋡·𝋬·𝋧·𝋡
Chinese
一萬二千九百四十一
Chinese (financial)
壹萬貳仟玖佰肆拾壹
In other modern scripts
Eastern Arabic ١٢٩٤١ Devanagari १२९४१ Bengali ১২৯৪১ Tamil ௧௨௯௪௧ Thai ๑๒๙๔๑ Tibetan ༡༢༩༤༡ Khmer ១២៩៤១ Lao ໑໒໙໔໑ Burmese ၁၂၉၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,941 = 9
e — Euler's number (e)
Digit 12,941 = 9
φ — Golden ratio (φ)
Digit 12,941 = 8
√2 — Pythagoras's (√2)
Digit 12,941 = 5
ln 2 — Natural log of 2
Digit 12,941 = 3
γ — Euler-Mascheroni (γ)
Digit 12,941 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,923 (gap of 18)
  • Next prime: 12,953 (gap of 12)
Unicode codepoint
Circled Ideograph Wood
U+328D
Other symbol (So)

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

Hex color
#00328D
RGB(0, 50, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.141.

Address
0.0.50.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.141

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

Musical pitch

Heard as a frequency, 12,941 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -46¢ — about midway to G9)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, -8¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -45¢ — about midway to G♯9)
Position in π

The digit sequence 12941 first appears in π at position 178,932 of the decimal expansion (the 178,932ordinal-suffix:nd 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.