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Number

85,009

85,009 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
90,058
Recamán's sequence
a(114,189) = 85,009
Square (n²)
7,226,530,081
Cube (n³)
614,320,095,655,729
Divisor count
2
σ(n) — sum of divisors
85,010
φ(n) — Euler's totient
85,008

Primality

85,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 85009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 85,009)
1 × 85009
First multiples
85,009 · 170,018 (double) · 255,027 · 340,036 · 425,045 · 510,054 · 595,063 · 680,072 · 765,081 · 850,090

Sums & aliquot sequence

As a sum of two squares: 105² + 272²
As consecutive integers: 42,504 + 42,505

Representations

In words
eighty-five thousand nine
Ordinal
85009th
Binary
10100110000010001
Octal
246021
Hexadecimal
0x14C11
Base64
AUwR
One's complement
4,294,882,286 (32-bit)
In other bases
ternary (3) 11022121111
quaternary (4) 110300101
quinary (5) 10210014
senary (6) 1453321
septenary (7) 502561
nonary (9) 138544
undecimal (11) 58961
duodecimal (12) 41241
tridecimal (13) 2c902
tetradecimal (14) 22da1
pentadecimal (15) 1a2c4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πεθʹ
Mayan (base 20)
𝋪·𝋬·𝋪·𝋩
Chinese
八萬五千零九
Chinese (financial)
捌萬伍仟零玖
In other modern scripts
Eastern Arabic ٨٥٠٠٩ Devanagari ८५००९ Bengali ৮৫০০৯ Tamil ௮௫௦௦௯ Thai ๘๕๐๐๙ Tibetan ༨༥༠༠༩ Khmer ៨៥០០៩ Lao ໘໕໐໐໙ Burmese ၈၅၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 85,009 = 5
e — Euler's number (e)
Digit 85,009 = 6
φ — Golden ratio (φ)
Digit 85,009 = 5
√2 — Pythagoras's (√2)
Digit 85,009 = 2
ln 2 — Natural log of 2
Digit 85,009 = 2
γ — Euler-Mascheroni (γ)
Digit 85,009 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 84,991 (gap of 18)
  • Next prime: 85,021 (gap of 12)
Hex color
#014C11
RGB(1, 76, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.76.17.

Address
0.1.76.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.76.17

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
000085009
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 85009 first appears in π at position 97,448 of the decimal expansion (the 97,448ordinal-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.