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Number

12,401

12,401 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
10,421
Recamán's sequence
a(21,982) = 12,401
Square (n²)
153,784,801
Cube (n³)
1,907,085,317,201
Divisor count
2
σ(n) — sum of divisors
12,402
φ(n) — Euler's totient
12,400

Primality

12,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,401)
1 × 12401
First multiples
12,401 · 24,802 (double) · 37,203 · 49,604 · 62,005 · 74,406 · 86,807 · 99,208 · 111,609 · 124,010

Sums & aliquot sequence

As a sum of two squares: 49² + 100²
As consecutive integers: 6,200 + 6,201

Representations

In words
twelve thousand four hundred one
Ordinal
12401st
Binary
11000001110001
Octal
30161
Hexadecimal
0x3071
Base64
MHE=
One's complement
53,134 (16-bit)
In other bases
ternary (3) 122000022
quaternary (4) 3001301
quinary (5) 344101
senary (6) 133225
septenary (7) 51104
nonary (9) 18008
undecimal (11) 9354
duodecimal (12) 7215
tridecimal (13) 584c
tetradecimal (14) 473b
pentadecimal (15) 3a1b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιβυαʹ
Mayan (base 20)
𝋡·𝋫·𝋠·𝋡
Chinese
一萬二千四百零一
Chinese (financial)
壹萬貳仟肆佰零壹
In other modern scripts
Eastern Arabic ١٢٤٠١ Devanagari १२४०१ Bengali ১২৪০১ Tamil ௧௨௪௦௧ Thai ๑๒๔๐๑ Tibetan ༡༢༤༠༡ Khmer ១២៤០១ Lao ໑໒໔໐໑ Burmese ၁၂၄၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,401 = 5
e — Euler's number (e)
Digit 12,401 = 0
φ — Golden ratio (φ)
Digit 12,401 = 9
√2 — Pythagoras's (√2)
Digit 12,401 = 7
ln 2 — Natural log of 2
Digit 12,401 = 5
γ — Euler-Mascheroni (γ)
Digit 12,401 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,391 (gap of 10)
  • Next prime: 12,409 (gap of 8)
Unicode codepoint
Hiragana Letter Pa
U+3071
Other letter (Lo)

UTF-8 encoding: E3 81 B1 (3 bytes).

Hex color
#003071
RGB(0, 48, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.113.

Address
0.0.48.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.48.113

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

Position in π

The digit sequence 12401 first appears in π at position 48,668 of the decimal expansion (the 48,668ordinal-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.