Number

9,001

9,001 is a prime, odd.

9,001 (nine thousand one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2329.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Flippable Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

12 notable facts · grade A

8,989 8,990 8,991 8,992 8,993 8,994 8,995 8,996 8,997 8,998 8,999 9,000 9,001 9,002 9,003 9,004 9,005 9,006 9,007 9,008 9,009 9,010 9,011 9,012 9,013

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 14 bits
Reversed: 1,009
Flips to (rotate 180°): 1,006
Recamán's sequence: a(24,594) = 9,001
Square (n²): 81,018,001
Cube (n³): 729,243,027,001
Divisor count: 2
σ(n) — sum of divisors: 9,002
φ(n) — Euler's totient: 9,000

Primality

9,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 9001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 9,001)

1 × 9001

First multiples

9,001 · 18,002 (double) · 27,003 · 36,004 · 45,005 · 54,006 · 63,007 · 72,008 · 81,009 · 90,010

Sums & aliquot sequence

As a sum of two squares: 51² + 80²

As consecutive integers: 4,500 + 4,501

Continued fraction of √n

√9,001 = [94; (1, 6, 1, 10, 3, 2, 20, 1, 1, 1, 7, 4, 11, 1, 1, 1, 1, 1, 1, 2, 1, 5, 37, 1, …)]

Representations

In words: nine thousand one
Ordinal: 9001st
Binary: 10001100101001
Octal: 21451
Hexadecimal: 0x2329
Base64: Iyk=
One's complement: 56,534 (16-bit)
Scientific notation: 9.001 × 10³
As a duration: 9,001 s = 2 hours, 30 minutes, 1 second

In other bases

ternary (3) 110100101

quaternary (4) 2030221

quinary (5) 242001

senary (6) 105401

septenary (7) 35146

nonary (9) 13311

undecimal (11) 6843

duodecimal (12) 5261

tridecimal (13) 4135

tetradecimal (14) 33cd

pentadecimal (15) 2a01

As an angle

9,001° = 25 × 360° + 1°

1° ≈ 0.017 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian): ͵θαʹ
Mayan (base 20): 𝋡·𝋢·𝋪·𝋡
Chinese: 九千零一
Chinese (financial): 玖仟零壹

In other modern scripts

Eastern Arabic ٩٠٠١ Devanagari ९००१ Bengali ৯০০১ Tamil ௯௦௦௧ Thai ๙๐๐๑ Tibetan ༩༠༠༡ Khmer ៩០០១ Lao ໙໐໐໑ Burmese ၉၀၀၁

Digit at this position in famous constants

π — Pi (π): Digit 9,001 = 5
e — Euler's number (e): Digit 9,001 = 0
φ — Golden ratio (φ): Digit 9,001 = 2
√2 — Pythagoras's (√2): Digit 9,001 = 1
ln 2 — Natural log of 2: Digit 9,001 = 9
γ — Euler-Mascheroni (γ): Digit 9,001 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 8,999 (gap of 2)
Next prime: 9,007 (gap of 6)

Pair status: twin with 8999, sexy with 9007.

Unicode codepoint

〈

Left-Pointing Angle Bracket

U+2329

Open punctuation (Ps)

UTF-8 encoding: E2 8C A9 (3 bytes).

Lookup U+2329 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002329

RGB(0, 35, 41)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.35.41.

Address: 0.0.35.41
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.35.41

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

Musical pitch

Heard as a frequency, 9,001 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): D9 (9195.2 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, +27¢)

Position in π

The digit sequence 9001 first appears in π at position 11,193 of the decimal expansion (the 11,193ordinal-suffix:rd 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 9001 on Pi Search ↗