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Number

84,401

84,401 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
10,448
Recamán's sequence
a(268,346) = 84,401
Square (n²)
7,123,528,801
Cube (n³)
601,232,954,333,201
Divisor count
2
σ(n) — sum of divisors
84,402
φ(n) — Euler's totient
84,400

Primality

84,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 84401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 84,401)
1 × 84401
First multiples
84,401 · 168,802 (double) · 253,203 · 337,604 · 422,005 · 506,406 · 590,807 · 675,208 · 759,609 · 844,010

Sums & aliquot sequence

As a sum of two squares: 185² + 224²
As consecutive integers: 42,200 + 42,201

Representations

In words
eighty-four thousand four hundred one
Ordinal
84401st
Binary
10100100110110001
Octal
244661
Hexadecimal
0x149B1
Base64
AUmx
One's complement
4,294,882,894 (32-bit)
In other bases
ternary (3) 11021202222
quaternary (4) 110212301
quinary (5) 10200101
senary (6) 1450425
septenary (7) 501032
nonary (9) 137688
undecimal (11) 58459
duodecimal (12) 40a15
tridecimal (13) 2c555
tetradecimal (14) 22a89
pentadecimal (15) 1a01b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵πδυαʹ
Mayan (base 20)
𝋪·𝋫·𝋠·𝋡
Chinese
八萬四千四百零一
Chinese (financial)
捌萬肆仟肆佰零壹
In other modern scripts
Eastern Arabic ٨٤٤٠١ Devanagari ८४४०१ Bengali ৮৪৪০১ Tamil ௮௪௪௦௧ Thai ๘๔๔๐๑ Tibetan ༨༤༤༠༡ Khmer ៨៤៤០១ Lao ໘໔໔໐໑ Burmese ၈၄၄၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 84,401 = 4
e — Euler's number (e)
Digit 84,401 = 4
φ — Golden ratio (φ)
Digit 84,401 = 6
√2 — Pythagoras's (√2)
Digit 84,401 = 4
ln 2 — Natural log of 2
Digit 84,401 = 8
γ — Euler-Mascheroni (γ)
Digit 84,401 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 84,391 (gap of 10)
  • Next prime: 84,407 (gap of 6)

Pair status: sexy with 84407.

Hex color
#0149B1
RGB(1, 73, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.73.177.

Address
0.1.73.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.73.177

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

Position in π

The digit sequence 84401 first appears in π at position 170,837 of the decimal expansion (the 170,837ordinal-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.