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Number

87,013

87,013 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
31,078
Square (n²)
7,571,262,169
Cube (n³)
658,798,235,111,197
Divisor count
2
σ(n) — sum of divisors
87,014
φ(n) — Euler's totient
87,012

Primality

87,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 87013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 87,013)
1 × 87013
First multiples
87,013 · 174,026 (double) · 261,039 · 348,052 · 435,065 · 522,078 · 609,091 · 696,104 · 783,117 · 870,130

Sums & aliquot sequence

As a sum of two squares: 143² + 258²
As consecutive integers: 43,506 + 43,507

Representations

In words
eighty-seven thousand thirteen
Ordinal
87013th
Binary
10101001111100101
Octal
251745
Hexadecimal
0x153E5
Base64
AVPl
One's complement
4,294,880,282 (32-bit)
In other bases
ternary (3) 11102100201
quaternary (4) 111033211
quinary (5) 10241023
senary (6) 1510501
septenary (7) 511453
nonary (9) 142321
undecimal (11) 5a413
duodecimal (12) 42431
tridecimal (13) 307b4
tetradecimal (14) 239d3
pentadecimal (15) 1abad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵πζιγʹ
Mayan (base 20)
𝋪·𝋱·𝋪·𝋭
Chinese
八萬七千零一十三
Chinese (financial)
捌萬柒仟零壹拾參
In other modern scripts
Eastern Arabic ٨٧٠١٣ Devanagari ८७०१३ Bengali ৮৭০১৩ Tamil ௮௭௦௧௩ Thai ๘๗๐๑๓ Tibetan ༨༧༠༡༣ Khmer ៨៧០១៣ Lao ໘໗໐໑໓ Burmese ၈၇၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 87,013 = 3
e — Euler's number (e)
Digit 87,013 = 9
φ — Golden ratio (φ)
Digit 87,013 = 8
√2 — Pythagoras's (√2)
Digit 87,013 = 7
ln 2 — Natural log of 2
Digit 87,013 = 5
γ — Euler-Mascheroni (γ)
Digit 87,013 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 87,011 (gap of 2)
  • Next prime: 87,037 (gap of 24)

Pair status: twin with 87011.

Hex color
#0153E5
RGB(1, 83, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.83.229.

Address
0.1.83.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.83.229

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

Position in π

The digit sequence 87013 first appears in π at position 37,034 of the decimal expansion (the 37,034ordinal-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.