Number

3,001

3,001 is a prime, odd.

3,001 (three thousand one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMI and in binary, 101110111001.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,989 2,990 2,991 2,992 2,993 2,994 2,995 2,996 2,997 2,998 2,999 3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012 3,013

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 1,003
Recamán's sequence: a(1,413) = 3,001
Square (n²): 9,006,001
Cube (n³): 27,027,009,001
Divisor count: 2
σ(n) — sum of divisors: 3,002
φ(n) — Euler's totient: 3,000

Primality

3,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,001)

1 × 3001

First multiples

3,001 · 6,002 (double) · 9,003 · 12,004 · 15,005 · 18,006 · 21,007 · 24,008 · 27,009 · 30,010

Sums & aliquot sequence

As a sum of two squares: 20² + 51²

As consecutive integers: 1,500 + 1,501

Continued fraction of √n

√3,001 = [54; (1, 3, 1, 1, 2, 1, 6, 1, 1, 2, 2, 2, 1, 9, 3, 1, 21, 6, 2, 1, 1, 35, 1, 12, …)]

Representations

In words: three thousand one
Ordinal: 3001st
Roman numeral: MMMI
Binary: 101110111001
Octal: 5671
Hexadecimal: 0xBB9
Base64: C7k=
One's complement: 62,534 (16-bit)
Scientific notation: 3.001 × 10³
As a duration: 3,001 s = 50 minutes, 1 second

In other bases

ternary (3) 11010011

quaternary (4) 232321

quinary (5) 44001

senary (6) 21521

septenary (7) 11515

nonary (9) 4104

undecimal (11) 2289

duodecimal (12) 18a1

tridecimal (13) 149b

tetradecimal (14) 1145

pentadecimal (15) d51

As an angle

3,001° = 8 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓏺
Greek (Milesian): ͵γαʹ
Mayan (base 20): 𝋧·𝋪·𝋡
Chinese: 三千零一
Chinese (financial): 參仟零壹

In other modern scripts

Eastern Arabic ٣٠٠١ Devanagari ३००१ Bengali ৩০০১ Tamil ௩௦௦௧ Thai ๓๐๐๑ Tibetan ༣༠༠༡ Khmer ៣០០១ Lao ໓໐໐໑ Burmese ၃၀၀၁

Digit at this position in famous constants

π — Pi (π): Digit 3,001 = 1
e — Euler's number (e): Digit 3,001 = 0
φ — Golden ratio (φ): Digit 3,001 = 4
√2 — Pythagoras's (√2): Digit 3,001 = 8
ln 2 — Natural log of 2: Digit 3,001 = 7
γ — Euler-Mascheroni (γ): Digit 3,001 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,999 (gap of 2)
Next prime: 3,011 (gap of 10)

Pair status: twin with 2999.

Unicode codepoint

ஹ

Tamil Letter Ha

U+0BB9

Other letter (Lo)

UTF-8 encoding: E0 AE B9 (3 bytes).

Lookup U+0BB9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000BB9

RGB(0, 11, 185)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.185.

Address: 0.0.11.185
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.185

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

Musical pitch

Heard as a frequency, 3,001 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +24¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +25¢)

Position in π

The digit sequence 3001 first appears in π at position 972 of the decimal expansion (the 972ordinal-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.

Look up 3001 on Pi Search ↗