number.wiki
Number

13,007

13,007 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
70,031
Recamán's sequence
a(48,261) = 13,007
Square (n²)
169,182,049
Cube (n³)
2,200,550,911,343
Divisor count
2
σ(n) — sum of divisors
13,008
φ(n) — Euler's totient
13,006

Primality

13,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13007
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,007)
1 × 13007
First multiples
13,007 · 26,014 (double) · 39,021 · 52,028 · 65,035 · 78,042 · 91,049 · 104,056 · 117,063 · 130,070

Sums & aliquot sequence

As consecutive integers: 6,503 + 6,504

Representations

In words
thirteen thousand seven
Ordinal
13007th
Binary
11001011001111
Octal
31317
Hexadecimal
0x32CF
Base64
Ms8=
One's complement
52,528 (16-bit)
In other bases
ternary (3) 122211202
quaternary (4) 3023033
quinary (5) 404012
senary (6) 140115
septenary (7) 52631
nonary (9) 18752
undecimal (11) 9855
duodecimal (12) 763b
tridecimal (13) 5bc7
tetradecimal (14) 4a51
pentadecimal (15) 3cc2

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγζʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋧
Chinese
一萬三千零七
Chinese (financial)
壹萬參仟零柒
In other modern scripts
Eastern Arabic ١٣٠٠٧ Devanagari १३००७ Bengali ১৩০০৭ Tamil ௧௩௦௦௭ Thai ๑๓๐๐๗ Tibetan ༡༣༠༠༧ Khmer ១៣០០៧ Lao ໑໓໐໐໗ Burmese ၁၃၀၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,007 = 7
e — Euler's number (e)
Digit 13,007 = 9
φ — Golden ratio (φ)
Digit 13,007 = 2
√2 — Pythagoras's (√2)
Digit 13,007 = 8
ln 2 — Natural log of 2
Digit 13,007 = 3
γ — Euler-Mascheroni (γ)
Digit 13,007 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,003 (gap of 4)
  • Next prime: 13,009 (gap of 2)

Pair status: twin with 13009, cousin with 13003.

Unicode codepoint
Limited Liability Sign
U+32CF
Other symbol (So)

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

Hex color
#0032CF
RGB(0, 50, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.207.

Address
0.0.50.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.207

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

Position in π

The digit sequence 13007 first appears in π at position 299,492 of the decimal expansion (the 299,492ordinal-suffix:nd 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.