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Number

13,003

13,003 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
30,031
Recamán's sequence
a(48,269) = 13,003
Square (n²)
169,078,009
Cube (n³)
2,198,521,351,027
Divisor count
2
σ(n) — sum of divisors
13,004
φ(n) — Euler's totient
13,002

Primality

13,003 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13003
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,003)
1 × 13003
First multiples
13,003 · 26,006 (double) · 39,009 · 52,012 · 65,015 · 78,018 · 91,021 · 104,024 · 117,027 · 130,030

Sums & aliquot sequence

As consecutive integers: 6,501 + 6,502

Representations

In words
thirteen thousand three
Ordinal
13003rd
Binary
11001011001011
Octal
31313
Hexadecimal
0x32CB
Base64
Mss=
One's complement
52,532 (16-bit)
In other bases
ternary (3) 122211121
quaternary (4) 3023023
quinary (5) 404003
senary (6) 140111
septenary (7) 52624
nonary (9) 18747
undecimal (11) 9851
duodecimal (12) 7637
tridecimal (13) 5bc3
tetradecimal (14) 4a4b
pentadecimal (15) 3cbd

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓏺𓏺𓏺
Greek (Milesian)
͵ιγγʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋣
Chinese
一萬三千零三
Chinese (financial)
壹萬參仟零參
In other modern scripts
Eastern Arabic ١٣٠٠٣ Devanagari १३००३ Bengali ১৩০০৩ Tamil ௧௩௦௦௩ Thai ๑๓๐๐๓ Tibetan ༡༣༠༠༣ Khmer ១៣០០៣ Lao ໑໓໐໐໓ Burmese ၁၃၀၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,003 = 7
e — Euler's number (e)
Digit 13,003 = 9
φ — Golden ratio (φ)
Digit 13,003 = 9
√2 — Pythagoras's (√2)
Digit 13,003 = 0
ln 2 — Natural log of 2
Digit 13,003 = 5
γ — Euler-Mascheroni (γ)
Digit 13,003 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,001 (gap of 2)
  • Next prime: 13,007 (gap of 4)

Pair status: twin with 13001, cousin with 13007.

Unicode codepoint
Ideographic Telegraph Symbol For December
U+32CB
Other symbol (So)

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

Hex color
#0032CB
RGB(0, 50, 203)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.203.

Address
0.0.50.203
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.203

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

Position in π

The digit sequence 13003 first appears in π at position 129,840 of the decimal expansion (the 129,840ordinal-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.