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Number

12,601

12,601 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
10,621
Recamán's sequence
a(49,073) = 12,601
Square (n²)
158,785,201
Cube (n³)
2,000,852,317,801
Divisor count
2
σ(n) — sum of divisors
12,602
φ(n) — Euler's totient
12,600

Primality

12,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,601)
1 × 12601
First multiples
12,601 · 25,202 (double) · 37,803 · 50,404 · 63,005 · 75,606 · 88,207 · 100,808 · 113,409 · 126,010

Sums & aliquot sequence

As a sum of two squares: 51² + 100²
As consecutive integers: 6,300 + 6,301

Representations

In words
twelve thousand six hundred one
Ordinal
12601st
Binary
11000100111001
Octal
30471
Hexadecimal
0x3139
Base64
MTk=
One's complement
52,934 (16-bit)
In other bases
ternary (3) 122021201
quaternary (4) 3010321
quinary (5) 400401
senary (6) 134201
septenary (7) 51511
nonary (9) 18251
undecimal (11) 9516
duodecimal (12) 7361
tridecimal (13) 5974
tetradecimal (14) 4841
pentadecimal (15) 3b01

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιβχαʹ
Mayan (base 20)
𝋡·𝋫·𝋪·𝋡
Chinese
一萬二千六百零一
Chinese (financial)
壹萬貳仟陸佰零壹
In other modern scripts
Eastern Arabic ١٢٦٠١ Devanagari १२६०१ Bengali ১২৬০১ Tamil ௧௨௬௦௧ Thai ๑๒๖๐๑ Tibetan ༡༢༦༠༡ Khmer ១២៦០១ Lao ໑໒໖໐໑ Burmese ၁၂၆၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,601 = 8
e — Euler's number (e)
Digit 12,601 = 8
φ — Golden ratio (φ)
Digit 12,601 = 7
√2 — Pythagoras's (√2)
Digit 12,601 = 9
ln 2 — Natural log of 2
Digit 12,601 = 5
γ — Euler-Mascheroni (γ)
Digit 12,601 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,589 (gap of 12)
  • Next prime: 12,611 (gap of 10)
Unicode codepoint
Hangul Letter Rieul
U+3139
Other letter (Lo)

UTF-8 encoding: E3 84 B9 (3 bytes).

Hex color
#003139
RGB(0, 49, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.49.57.

Address
0.0.49.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.49.57

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

Position in π

The digit sequence 12601 first appears in π at position 34,204 of the decimal expansion (the 34,204ordinal-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.