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Number

90,401

90,401 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
10,409
Recamán's sequence
a(109,045) = 90,401
Square (n²)
8,172,340,801
Cube (n³)
738,787,780,751,201
Divisor count
2
σ(n) — sum of divisors
90,402
φ(n) — Euler's totient
90,400

Primality

90,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 90401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 90,401)
1 × 90401
First multiples
90,401 · 180,802 (double) · 271,203 · 361,604 · 452,005 · 542,406 · 632,807 · 723,208 · 813,609 · 904,010

Sums & aliquot sequence

As a sum of two squares: 151² + 260²
As consecutive integers: 45,200 + 45,201

Representations

In words
ninety thousand four hundred one
Ordinal
90401st
Binary
10110000100100001
Octal
260441
Hexadecimal
0x16121
Base64
AWEh
One's complement
4,294,876,894 (32-bit)
In other bases
ternary (3) 11121000012
quaternary (4) 112010201
quinary (5) 10343101
senary (6) 1534305
septenary (7) 524363
nonary (9) 147005
undecimal (11) 61a13
duodecimal (12) 44395
tridecimal (13) 321bc
tetradecimal (14) 24d33
pentadecimal (15) 1bbbb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϟυαʹ
Mayan (base 20)
𝋫·𝋦·𝋠·𝋡
Chinese
九萬零四百零一
Chinese (financial)
玖萬零肆佰零壹
In other modern scripts
Eastern Arabic ٩٠٤٠١ Devanagari ९०४०१ Bengali ৯০৪০১ Tamil ௯௦௪௦௧ Thai ๙๐๔๐๑ Tibetan ༩༠༤༠༡ Khmer ៩០៤០១ Lao ໙໐໔໐໑ Burmese ၉၀၄၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 90,401 = 1
e — Euler's number (e)
Digit 90,401 = 9
φ — Golden ratio (φ)
Digit 90,401 = 5
√2 — Pythagoras's (√2)
Digit 90,401 = 9
ln 2 — Natural log of 2
Digit 90,401 = 2
γ — Euler-Mascheroni (γ)
Digit 90,401 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 90,397 (gap of 4)
  • Next prime: 90,403 (gap of 2)

Pair status: twin with 90403, cousin with 90397.

Unicode codepoint
𖄡
Gurung Khema Vowel Sign U
U+16121
Non-spacing mark (Mn)

UTF-8 encoding: F0 96 84 A1 (4 bytes).

Hex color
#016121
RGB(1, 97, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.97.33.

Address
0.1.97.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.97.33

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

Position in π

The digit sequence 90401 first appears in π at position 126,272 of the decimal expansion (the 126,272ordinal-suffix:nd 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.