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Number

56,009

56,009 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
90,065
Recamán's sequence
a(291,802) = 56,009
Square (n²)
3,137,008,081
Cube (n³)
175,700,685,608,729
Divisor count
2
σ(n) — sum of divisors
56,010
φ(n) — Euler's totient
56,008

Primality

56,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 56009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 56,009)
1 × 56009
First multiples
56,009 · 112,018 (double) · 168,027 · 224,036 · 280,045 · 336,054 · 392,063 · 448,072 · 504,081 · 560,090

Sums & aliquot sequence

As a sum of two squares: 28² + 235²
As consecutive integers: 28,004 + 28,005

Representations

In words
fifty-six thousand nine
Ordinal
56009th
Binary
1101101011001001
Octal
155311
Hexadecimal
0xDAC9
Base64
2sk=
One's complement
9,526 (16-bit)
In other bases
ternary (3) 2211211102
quaternary (4) 31223021
quinary (5) 3243014
senary (6) 1111145
septenary (7) 322202
nonary (9) 84742
undecimal (11) 39098
duodecimal (12) 284b5
tridecimal (13) 1c655
tetradecimal (14) 165a9
pentadecimal (15) 118de

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νϛθʹ
Mayan (base 20)
𝋧·𝋠·𝋠·𝋩
Chinese
五萬六千零九
Chinese (financial)
伍萬陸仟零玖
In other modern scripts
Eastern Arabic ٥٦٠٠٩ Devanagari ५६००९ Bengali ৫৬০০৯ Tamil ௫௬௦௦௯ Thai ๕๖๐๐๙ Tibetan ༥༦༠༠༩ Khmer ៥៦០០៩ Lao ໕໖໐໐໙ Burmese ၅၆၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 56,009 = 2
e — Euler's number (e)
Digit 56,009 = 8
φ — Golden ratio (φ)
Digit 56,009 = 6
√2 — Pythagoras's (√2)
Digit 56,009 = 8
ln 2 — Natural log of 2
Digit 56,009 = 8
γ — Euler-Mascheroni (γ)
Digit 56,009 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 56,003 (gap of 6)
  • Next prime: 56,039 (gap of 30)

Pair status: sexy with 56003.

Hex color
#00DAC9
RGB(0, 218, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.218.201.

Address
0.0.218.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.218.201

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000056009
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 56009 first appears in π at position 367,342 of the decimal expansion (the 367,342ordinal-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.