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Number

13,001

13,001 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
10,031
Recamán's sequence
a(48,273) = 13,001
Square (n²)
169,026,001
Cube (n³)
2,197,507,039,001
Divisor count
2
σ(n) — sum of divisors
13,002
φ(n) — Euler's totient
13,000

Primality

13,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,001)
1 × 13001
First multiples
13,001 · 26,002 (double) · 39,003 · 52,004 · 65,005 · 78,006 · 91,007 · 104,008 · 117,009 · 130,010

Sums & aliquot sequence

As a sum of two squares: 76² + 85²
As consecutive integers: 6,500 + 6,501

Representations

In words
thirteen thousand one
Ordinal
13001st
Binary
11001011001001
Octal
31311
Hexadecimal
0x32C9
Base64
Msk=
One's complement
52,534 (16-bit)
In other bases
ternary (3) 122211112
quaternary (4) 3023021
quinary (5) 404001
senary (6) 140105
septenary (7) 52622
nonary (9) 18745
undecimal (11) 984a
duodecimal (12) 7635
tridecimal (13) 5bc1
tetradecimal (14) 4a49
pentadecimal (15) 3cbb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ιγαʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋡
Chinese
一萬三千零一
Chinese (financial)
壹萬參仟零壹
In other modern scripts
Eastern Arabic ١٣٠٠١ Devanagari १३००१ Bengali ১৩০০১ Tamil ௧௩௦௦௧ Thai ๑๓๐๐๑ Tibetan ༡༣༠༠༡ Khmer ១៣០០១ Lao ໑໓໐໐໑ Burmese ၁၃၀၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,001 = 9
e — Euler's number (e)
Digit 13,001 = 4
φ — Golden ratio (φ)
Digit 13,001 = 6
√2 — Pythagoras's (√2)
Digit 13,001 = 8
ln 2 — Natural log of 2
Digit 13,001 = 2
γ — Euler-Mascheroni (γ)
Digit 13,001 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,983 (gap of 18)
  • Next prime: 13,003 (gap of 2)

Pair status: twin with 13003.

Unicode codepoint
Ideographic Telegraph Symbol For October
U+32C9
Other symbol (So)

UTF-8 encoding: E3 8B 89 (3 bytes).

Hex color
#0032C9
RGB(0, 50, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.201.

Address
0.0.50.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.201

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

Position in π

The digit sequence 13001 first appears in π at position 971 of the decimal expansion (the 971ordinal-suffix:st 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.