Number

90,001

90,001 is a prime, odd.

90,001 (ninety thousand one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x15F91.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Flippable Happy Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

89,989 89,990 89,991 89,992 89,993 89,994 89,995 89,996 89,997 89,998 89,999 90,000 90,001 90,002 90,003 90,004 90,005 90,006 90,007 90,008 90,009 90,010 90,011 90,012 90,013

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 10,009
Flips to (rotate 180°): 10,006
Square (n²): 8,100,180,001
Cube (n³): 729,024,300,270,001
Divisor count: 2
σ(n) — sum of divisors: 90,002
φ(n) — Euler's totient: 90,000

Primality

90,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 90001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 90,001)

1 × 90001

First multiples

90,001 · 180,002 (double) · 270,003 · 360,004 · 450,005 · 540,006 · 630,007 · 720,008 · 810,009 · 900,010

Sums & aliquot sequence

As a sum of two squares: 1² + 300²

As consecutive integers: 45,000 + 45,001

Continued fraction of √n

√90,001 = [300; (600)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words: ninety thousand one
Ordinal: 90001st
Binary: 10101111110010001
Octal: 257621
Hexadecimal: 0x15F91
Base64: AV+R
One's complement: 4,294,877,294 (32-bit)
Scientific notation: 9.0001 × 10⁴
As a duration: 90,001 s = 1 day, 1 hour, 1 second

In other bases

ternary (3) 11120110101

quaternary (4) 111332101

quinary (5) 10340001

senary (6) 1532401

septenary (7) 523252

nonary (9) 146411

undecimal (11) 6168a

duodecimal (12) 44101

tridecimal (13) 31c72

tetradecimal (14) 24b29

pentadecimal (15) 1ba01

As an angle

90,001° = 250 × 360° + 1°

1° ≈ 0.017 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓏺
Greek (Milesian): ͵ϟαʹ
Mayan (base 20): 𝋫·𝋥·𝋠·𝋡
Chinese: 九萬零一
Chinese (financial): 玖萬零壹

In other modern scripts

Eastern Arabic ٩٠٠٠١ Devanagari ९०००१ Bengali ৯০০০১ Tamil ௯௦௦௦௧ Thai ๙๐๐๐๑ Tibetan ༩༠༠༠༡ Khmer ៩០០០១ Lao ໙໐໐໐໑ Burmese ၉၀၀၀၁

Digit at this position in famous constants

π — Pi (π): Digit 90,001 = 0
e — Euler's number (e): Digit 90,001 = 7
φ — Golden ratio (φ): Digit 90,001 = 0
√2 — Pythagoras's (√2): Digit 90,001 = 9
ln 2 — Natural log of 2: Digit 90,001 = 6
γ — Euler-Mascheroni (γ): Digit 90,001 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 89,989 (gap of 12)
Next prime: 90,007 (gap of 6)

Pair status: sexy with 90007.

Hex color

#015F91

RGB(1, 95, 145)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.95.145.

Address: 0.1.95.145
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.95.145

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

Position in π

The digit sequence 90001 first appears in π at position 29,455 of the decimal expansion (the 29,455ordinal-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.

Look up 90001 on Pi Search ↗