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Number

85,201

85,201 is a prime, odd.

85,201 (eighty-five thousand two hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x14CD1.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
10,258
Recamán's sequence
a(267,626) = 85,201
Square (n²)
7,259,210,401
Cube (n³)
618,491,985,375,601
Divisor count
2
σ(n) — sum of divisors
85,202
φ(n) — Euler's totient
85,200

Primality

85,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 85201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 85,201)
1 × 85201
First multiples
85,201 · 170,402 (double) · 255,603 · 340,804 · 426,005 · 511,206 · 596,407 · 681,608 · 766,809 · 852,010

Sums & aliquot sequence

As a sum of two squares: 95² + 276²
As consecutive integers: 42,600 + 42,601

Continued fraction of √n

√85,201 = [291; (1, 8, 3, 1, 2, 1, 2, 3, 3, 1, 5, 2, 1, 1, 1, 4, 1, 13, 1, 3, 2, 1, 1, 4, …)]

Representations

In words
eighty-five thousand two hundred one
Ordinal
85201st
Binary
10100110011010001
Octal
246321
Hexadecimal
0x14CD1
Base64
AUzR
One's complement
4,294,882,094 (32-bit)
Scientific notation
8.5201 × 10⁴
As a duration
85,201 s = 23 hours, 40 minutes, 1 second
In other bases
ternary (3) 11022212121
quaternary (4) 110303101
quinary (5) 10211301
senary (6) 1454241
septenary (7) 503254
nonary (9) 138777
undecimal (11) 59016
duodecimal (12) 41381
tridecimal (13) 2ca1c
tetradecimal (14) 2309b
pentadecimal (15) 1a3a1
Palindromic in base 15

As an angle

85,201° = 236 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵πεσαʹ
Mayan (base 20)
𝋪·𝋭·𝋠·𝋡
Chinese
八萬五千二百零一
Chinese (financial)
捌萬伍仟貳佰零壹
In other modern scripts
Eastern Arabic ٨٥٢٠١ Devanagari ८५२०१ Bengali ৮৫২০১ Tamil ௮௫௨௦௧ Thai ๘๕๒๐๑ Tibetan ༨༥༢༠༡ Khmer ៨៥២០១ Lao ໘໕໒໐໑ Burmese ၈၅၂၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 85,201 = 5
e — Euler's number (e)
Digit 85,201 = 7
φ — Golden ratio (φ)
Digit 85,201 = 2
√2 — Pythagoras's (√2)
Digit 85,201 = 7
ln 2 — Natural log of 2
Digit 85,201 = 2
γ — Euler-Mascheroni (γ)
Digit 85,201 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 85,199 (gap of 2)
  • Next prime: 85,213 (gap of 12)

Pair status: twin with 85199.

Hex color
#014CD1
RGB(1, 76, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.76.209.

Address
0.1.76.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.76.209

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

Position in π

The digit sequence 85201 first appears in π at position 13,133 of the decimal expansion (the 13,133ordinal-suffix:rd 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.