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Number

84,121

84,121 is a prime, odd.

84,121 (eighty-four thousand one hundred twenty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x14899.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
64
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
12,148
Recamán's sequence
a(268,906) = 84,121
Square (n²)
7,076,342,641
Cube (n³)
595,269,019,303,561
Divisor count
2
σ(n) — sum of divisors
84,122
φ(n) — Euler's totient
84,120

Primality

84,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 84121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 84,121)
1 × 84121
First multiples
84,121 · 168,242 (double) · 252,363 · 336,484 · 420,605 · 504,726 · 588,847 · 672,968 · 757,089 · 841,210

Sums & aliquot sequence

As a sum of two squares: 189² + 220²
As consecutive integers: 42,060 + 42,061

Continued fraction of √n

√84,121 = [290; (27, 1, 1, 1, 1, 1, 3, 14, 4, 2, 2, 1, 9, 1, 5, 7, 2, 1, 2, 1, 16, 1, 5, 1, …)]

Representations

In words
eighty-four thousand one hundred twenty-one
Ordinal
84121st
Binary
10100100010011001
Octal
244231
Hexadecimal
0x14899
Base64
AUiZ
One's complement
4,294,883,174 (32-bit)
Scientific notation
8.4121 × 10⁴
As a duration
84,121 s = 23 hours, 22 minutes, 1 second
In other bases
ternary (3) 11021101121
quaternary (4) 110202121
quinary (5) 10142441
senary (6) 1445241
septenary (7) 500152
nonary (9) 137347
undecimal (11) 58224
duodecimal (12) 40821
tridecimal (13) 2c39b
tetradecimal (14) 22929
pentadecimal (15) 19dd1

As an angle

84,121° = 233 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵πδρκαʹ
Mayan (base 20)
𝋪·𝋪·𝋦·𝋡
Chinese
八萬四千一百二十一
Chinese (financial)
捌萬肆仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ٨٤١٢١ Devanagari ८४१२१ Bengali ৮৪১২১ Tamil ௮௪௧௨௧ Thai ๘๔๑๒๑ Tibetan ༨༤༡༢༡ Khmer ៨៤១២១ Lao ໘໔໑໒໑ Burmese ၈၄၁၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 84,121 = 6
e — Euler's number (e)
Digit 84,121 = 8
φ — Golden ratio (φ)
Digit 84,121 = 0
√2 — Pythagoras's (√2)
Digit 84,121 = 8
ln 2 — Natural log of 2
Digit 84,121 = 7
γ — Euler-Mascheroni (γ)
Digit 84,121 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 84,089 (gap of 32)
  • Next prime: 84,127 (gap of 6)

Pair status: sexy with 84127.

Hex color
#014899
RGB(1, 72, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.153.

Address
0.1.72.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.153

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

Position in π

The digit sequence 84121 first appears in π at position 248,006 of the decimal expansion (the 248,006ordinal-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.

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.