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Number

12,041

12,041 is a prime, odd.

12,041 (twelve thousand forty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2F09.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
14,021
Recamán's sequence
a(22,702) = 12,041
Square (n²)
144,985,681
Cube (n³)
1,745,772,584,921
Divisor count
2
σ(n) — sum of divisors
12,042
φ(n) — Euler's totient
12,040

Primality

12,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,041)
1 × 12041
First multiples
12,041 · 24,082 (double) · 36,123 · 48,164 · 60,205 · 72,246 · 84,287 · 96,328 · 108,369 · 120,410

Sums & aliquot sequence

As a sum of two squares: 35² + 104²
As consecutive integers: 6,020 + 6,021

Continued fraction of √n

√12,041 = [109; (1, 2, 1, 2, 1, 1, 1, 2, 9, 6, 6, 9, 2, 1, 1, 1, 2, 1, 2, 1, 218)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words
twelve thousand forty-one
Ordinal
12041st
Binary
10111100001001
Octal
27411
Hexadecimal
0x2F09
Base64
Lwk=
One's complement
53,494 (16-bit)
Scientific notation
1.2041 × 10⁴
As a duration
12,041 s = 3 hours, 20 minutes, 41 seconds
In other bases
ternary (3) 121111222
quaternary (4) 2330021
quinary (5) 341131
senary (6) 131425
septenary (7) 50051
nonary (9) 17458
undecimal (11) 9057
duodecimal (12) 6b75
tridecimal (13) 5633
tetradecimal (14) 4561
pentadecimal (15) 387b

As an angle

12,041° = 33 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιβμαʹ
Mayan (base 20)
𝋡·𝋪·𝋢·𝋡
Chinese
一萬二千零四十一
Chinese (financial)
壹萬貳仟零肆拾壹
In other modern scripts
Eastern Arabic ١٢٠٤١ Devanagari १२०४१ Bengali ১২০৪১ Tamil ௧௨௦௪௧ Thai ๑๒๐๔๑ Tibetan ༡༢༠༤༡ Khmer ១២០៤១ Lao ໑໒໐໔໑ Burmese ၁၂၀၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,041 = 4
e — Euler's number (e)
Digit 12,041 = 3
φ — Golden ratio (φ)
Digit 12,041 = 4
√2 — Pythagoras's (√2)
Digit 12,041 = 6
ln 2 — Natural log of 2
Digit 12,041 = 6
γ — Euler-Mascheroni (γ)
Digit 12,041 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,037 (gap of 4)
  • Next prime: 12,043 (gap of 2)

Pair status: twin with 12043, cousin with 12037.

Unicode codepoint
Kangxi Radical Legs
U+2F09
Other symbol (So)

UTF-8 encoding: E2 BC 89 (3 bytes).

Hex color
#002F09
RGB(0, 47, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.9.

Address
0.0.47.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.9

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

Musical pitch

Heard as a frequency, 12,041 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +29¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -33¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +30¢)
Position in π

The digit sequence 12041 first appears in π at position 52,405 of the decimal expansion (the 52,405ordinal-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.