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Number

12,721

12,721 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Palindrome Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
28
Digital root
4
Palindrome
Yes
Bit width
14 bits
Recamán's sequence
a(48,833) = 12,721
Square (n²)
161,823,841
Cube (n³)
2,058,561,081,361
Divisor count
2
σ(n) — sum of divisors
12,722
φ(n) — Euler's totient
12,720

Primality

12,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,721)
1 × 12721
First multiples
12,721 · 25,442 (double) · 38,163 · 50,884 · 63,605 · 76,326 · 89,047 · 101,768 · 114,489 · 127,210

Sums & aliquot sequence

As a sum of two squares: 20² + 111²
As consecutive integers: 6,360 + 6,361

Representations

In words
twelve thousand seven hundred twenty-one
Ordinal
12721st
Binary
11000110110001
Octal
30661
Hexadecimal
0x31B1
Base64
MbE=
One's complement
52,814 (16-bit)
In other bases
ternary (3) 122110011
quaternary (4) 3012301
quinary (5) 401341
senary (6) 134521
septenary (7) 52042
nonary (9) 18404
undecimal (11) 9615
duodecimal (12) 7441
tridecimal (13) 5a37
tetradecimal (14) 48c9
pentadecimal (15) 3b81

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ιβψκαʹ
Mayan (base 20)
𝋡·𝋫·𝋰·𝋡
Chinese
一萬二千七百二十一
Chinese (financial)
壹萬貳仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٢٧٢١ Devanagari १२७२१ Bengali ১২৭২১ Tamil ௧௨௭௨௧ Thai ๑๒๗๒๑ Tibetan ༡༢༧༢༡ Khmer ១២៧២១ Lao ໑໒໗໒໑ Burmese ၁၂၇၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,721 = 1
e — Euler's number (e)
Digit 12,721 = 1
φ — Golden ratio (φ)
Digit 12,721 = 0
√2 — Pythagoras's (√2)
Digit 12,721 = 2
ln 2 — Natural log of 2
Digit 12,721 = 9
γ — Euler-Mascheroni (γ)
Digit 12,721 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,713 (gap of 8)
  • Next prime: 12,739 (gap of 18)
Unicode codepoint
Bopomofo Letter Om
U+31B1
Other letter (Lo)

UTF-8 encoding: E3 86 B1 (3 bytes).

Hex color
#0031B1
RGB(0, 49, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.49.177.

Address
0.0.49.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.49.177

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

Position in π

The digit sequence 12721 first appears in π at position 54,516 of the decimal expansion (the 54,516ordinal-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.