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Number

10,009

10,009 is a prime, odd.

Arithmetic Number Deficient Number Emirp Flippable Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
90,001
Flips to (rotate 180°)
60,001
Recamán's sequence
a(4,797) = 10,009
Square (n²)
100,180,081
Cube (n³)
1,002,702,430,729
Divisor count
2
σ(n) — sum of divisors
10,010
φ(n) — Euler's totient
10,008

Primality

10,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,009)
1 × 10009
First multiples
10,009 · 20,018 (double) · 30,027 · 40,036 · 50,045 · 60,054 · 70,063 · 80,072 · 90,081 · 100,090

Sums & aliquot sequence

As a sum of two squares: 3² + 100²
As consecutive integers: 5,004 + 5,005

Representations

In words
ten thousand nine
Ordinal
10009th
Binary
10011100011001
Octal
23431
Hexadecimal
0x2719
Base64
Jxk=
One's complement
55,526 (16-bit)
In other bases
ternary (3) 111201201
quaternary (4) 2130121
quinary (5) 310014
senary (6) 114201
septenary (7) 41116
nonary (9) 14651
undecimal (11) 757a
duodecimal (12) 5961
tridecimal (13) 472c
tetradecimal (14) 390d
pentadecimal (15) 2e74

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιθʹ
Mayan (base 20)
𝋡·𝋥·𝋠·𝋩
Chinese
一萬零九
Chinese (financial)
壹萬零玖
In other modern scripts
Eastern Arabic ١٠٠٠٩ Devanagari १०००९ Bengali ১০০০৯ Tamil ௧௦௦௦௯ Thai ๑๐๐๐๙ Tibetan ༡༠༠༠༩ Khmer ១០០០៩ Lao ໑໐໐໐໙ Burmese ၁၀၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,009 = 9
e — Euler's number (e)
Digit 10,009 = 8
φ — Golden ratio (φ)
Digit 10,009 = 4
√2 — Pythagoras's (√2)
Digit 10,009 = 6
ln 2 — Natural log of 2
Digit 10,009 = 0
γ — Euler-Mascheroni (γ)
Digit 10,009 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,007 (gap of 2)
  • Next prime: 10,037 (gap of 28)

Pair status: twin with 10007.

Unicode codepoint
Outlined Greek Cross
U+2719
Other symbol (So)

UTF-8 encoding: E2 9C 99 (3 bytes).

Hex color
#002719
RGB(0, 39, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.25.

Address
0.0.39.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.25

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

Position in π

The digit sequence 10009 first appears in π at position 26,178 of the decimal expansion (the 26,178ordinal-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.