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Number

12,541

12,541 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
40
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
14,521
Recamán's sequence
a(49,193) = 12,541
Square (n²)
157,276,681
Cube (n³)
1,972,406,856,421
Divisor count
2
σ(n) — sum of divisors
12,542
φ(n) — Euler's totient
12,540

Primality

12,541 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12541
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,541)
1 × 12541
First multiples
12,541 · 25,082 (double) · 37,623 · 50,164 · 62,705 · 75,246 · 87,787 · 100,328 · 112,869 · 125,410

Sums & aliquot sequence

As a sum of two squares: 21² + 110²
As consecutive integers: 6,270 + 6,271

Representations

In words
twelve thousand five hundred forty-one
Ordinal
12541st
Binary
11000011111101
Octal
30375
Hexadecimal
0x30FD
Base64
MP0=
One's complement
52,994 (16-bit)
In other bases
ternary (3) 122012111
quaternary (4) 3003331
quinary (5) 400131
senary (6) 134021
septenary (7) 51364
nonary (9) 18174
undecimal (11) 9471
duodecimal (12) 7311
tridecimal (13) 5929
tetradecimal (14) 47db
pentadecimal (15) 3ab1

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιβφμαʹ
Mayan (base 20)
𝋡·𝋫·𝋧·𝋡
Chinese
一萬二千五百四十一
Chinese (financial)
壹萬貳仟伍佰肆拾壹
In other modern scripts
Eastern Arabic ١٢٥٤١ Devanagari १२५४१ Bengali ১২৫৪১ Tamil ௧௨௫௪௧ Thai ๑๒๕๔๑ Tibetan ༡༢༥༤༡ Khmer ១២៥៤១ Lao ໑໒໕໔໑ Burmese ၁၂၅၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,541 = 7
e — Euler's number (e)
Digit 12,541 = 2
φ — Golden ratio (φ)
Digit 12,541 = 1
√2 — Pythagoras's (√2)
Digit 12,541 = 2
ln 2 — Natural log of 2
Digit 12,541 = 8
γ — Euler-Mascheroni (γ)
Digit 12,541 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,539 (gap of 2)
  • Next prime: 12,547 (gap of 6)

Pair status: twin with 12539, sexy with 12547.

Unicode codepoint
Katakana Iteration Mark
U+30FD
Modifier letter (Lm)

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

Hex color
#0030FD
RGB(0, 48, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.253.

Address
0.0.48.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.48.253

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

Position in π

The digit sequence 12541 first appears in π at position 134,690 of the decimal expansion (the 134,690ordinal-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.