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Number

12,413

12,413 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
31,421
Recamán's sequence
a(21,958) = 12,413
Square (n²)
154,082,569
Cube (n³)
1,912,626,928,997
Divisor count
2
σ(n) — sum of divisors
12,414
φ(n) — Euler's totient
12,412

Primality

12,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,413)
1 × 12413
First multiples
12,413 · 24,826 (double) · 37,239 · 49,652 · 62,065 · 74,478 · 86,891 · 99,304 · 111,717 · 124,130

Sums & aliquot sequence

As a sum of two squares: 53² + 98²
As consecutive integers: 6,206 + 6,207

Representations

In words
twelve thousand four hundred thirteen
Ordinal
12413th
Binary
11000001111101
Octal
30175
Hexadecimal
0x307D
Base64
MH0=
One's complement
53,122 (16-bit)
In other bases
ternary (3) 122000202
quaternary (4) 3001331
quinary (5) 344123
senary (6) 133245
septenary (7) 51122
nonary (9) 18022
undecimal (11) 9365
duodecimal (12) 7225
tridecimal (13) 585b
tetradecimal (14) 4749
pentadecimal (15) 3a28

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιβυιγʹ
Mayan (base 20)
𝋡·𝋫·𝋠·𝋭
Chinese
一萬二千四百一十三
Chinese (financial)
壹萬貳仟肆佰壹拾參
In other modern scripts
Eastern Arabic ١٢٤١٣ Devanagari १२४१३ Bengali ১২৪১৩ Tamil ௧௨௪௧௩ Thai ๑๒๔๑๓ Tibetan ༡༢༤༡༣ Khmer ១២៤១៣ Lao ໑໒໔໑໓ Burmese ၁၂၄၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 12,413 = 6
e — Euler's number (e)
Digit 12,413 = 3
φ — Golden ratio (φ)
Digit 12,413 = 0
√2 — Pythagoras's (√2)
Digit 12,413 = 2
ln 2 — Natural log of 2
Digit 12,413 = 4
γ — Euler-Mascheroni (γ)
Digit 12,413 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,409 (gap of 4)
  • Next prime: 12,421 (gap of 8)

Pair status: cousin with 12409.

Unicode codepoint
Hiragana Letter Po
U+307D
Other letter (Lo)

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

Hex color
#00307D
RGB(0, 48, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.125.

Address
0.0.48.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.48.125

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

Position in π

The digit sequence 12413 first appears in π at position 82,303 of the decimal expansion (the 82,303ordinal-suffix:rd 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.