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Number

84,137

84,137 is a prime, odd.

Arithmetic Number Balanced Prime Chen Prime Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
73,148
Recamán's sequence
a(268,874) = 84,137
Square (n²)
7,079,034,769
Cube (n³)
595,608,748,359,353
Divisor count
2
σ(n) — sum of divisors
84,138
φ(n) — Euler's totient
84,136

Primality

84,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 84137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 84,137)
1 × 84137
First multiples
84,137 · 168,274 (double) · 252,411 · 336,548 · 420,685 · 504,822 · 588,959 · 673,096 · 757,233 · 841,370

Sums & aliquot sequence

As a sum of two squares: 59² + 284²
As consecutive integers: 42,068 + 42,069

Representations

In words
eighty-four thousand one hundred thirty-seven
Ordinal
84137th
Binary
10100100010101001
Octal
244251
Hexadecimal
0x148A9
Base64
AUip
One's complement
4,294,883,158 (32-bit)
In other bases
ternary (3) 11021102012
quaternary (4) 110202221
quinary (5) 10143022
senary (6) 1445305
septenary (7) 500204
nonary (9) 137365
undecimal (11) 58239
duodecimal (12) 40835
tridecimal (13) 2c3b1
tetradecimal (14) 2293b
pentadecimal (15) 19de2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πδρλζʹ
Mayan (base 20)
𝋪·𝋪·𝋦·𝋱
Chinese
八萬四千一百三十七
Chinese (financial)
捌萬肆仟壹佰參拾柒
In other modern scripts
Eastern Arabic ٨٤١٣٧ Devanagari ८४१३७ Bengali ৮৪১৩৭ Tamil ௮௪௧௩௭ Thai ๘๔๑๓๗ Tibetan ༨༤༡༣༧ Khmer ៨៤១៣៧ Lao ໘໔໑໓໗ Burmese ၈၄၁၃၇

Digit at this position in famous constants

π — Pi (π)
Digit 84,137 = 3
e — Euler's number (e)
Digit 84,137 = 3
φ — Golden ratio (φ)
Digit 84,137 = 1
√2 — Pythagoras's (√2)
Digit 84,137 = 7
ln 2 — Natural log of 2
Digit 84,137 = 8
γ — Euler-Mascheroni (γ)
Digit 84,137 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 84,131 (gap of 6)
  • Next prime: 84,143 (gap of 6)

Pair status: sexy with 84131, sexy with 84143.

Hex color
#0148A9
RGB(1, 72, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.169.

Address
0.1.72.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.169

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

Position in π

The digit sequence 84137 first appears in π at position 74,185 of the decimal expansion (the 74,185ordinal-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.