Number

7,001

7,001 is a prime, odd.

7,001 (seven thousand one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B59.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

6,989 6,990 6,991 6,992 6,993 6,994 6,995 6,996 6,997 6,998 6,999 7,000 7,001 7,002 7,003 7,004 7,005 7,006 7,007 7,008 7,009 7,010 7,011 7,012 7,013

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 1,007
Recamán's sequence: a(177,009) = 7,001
Square (n²): 49,014,001
Cube (n³): 343,147,021,001
Divisor count: 2
σ(n) — sum of divisors: 7,002
φ(n) — Euler's totient: 7,000

Primality

7,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 7001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 7,001)

1 × 7001

First multiples

7,001 · 14,002 (double) · 21,003 · 28,004 · 35,005 · 42,006 · 49,007 · 56,008 · 63,009 · 70,010

Sums & aliquot sequence

As a sum of two squares: 35² + 76²

As consecutive integers: 3,500 + 3,501

Continued fraction of √n

√7,001 = [83; (1, 2, 20, 1, 1, 2, 2, 10, 23, 1, 4, 3, 1, 2, 4, 2, 2, 1, 1, 2, 6, 3, 3, 1, …)]

Representations

In words: seven thousand one
Ordinal: 7001st
Binary: 1101101011001
Octal: 15531
Hexadecimal: 0x1B59
Base64: G1k=
One's complement: 58,534 (16-bit)
Scientific notation: 7.001 × 10³
As a duration: 7,001 s = 1 hour, 56 minutes, 41 seconds

In other bases

ternary (3) 100121022

quaternary (4) 1231121

quinary (5) 211001

senary (6) 52225

septenary (7) 26261

nonary (9) 10538

undecimal (11) 5295

duodecimal (12) 4075

tridecimal (13) 3257

tetradecimal (14) 27a1

pentadecimal (15) 211b

Palindromic in base 6

As an angle

7,001° = 19 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian): ͵ζαʹ
Mayan (base 20): 𝋱·𝋪·𝋡
Chinese: 七千零一
Chinese (financial): 柒仟零壹

In other modern scripts

Eastern Arabic ٧٠٠١ Devanagari ७००१ Bengali ৭০০১ Tamil ௭௦௦௧ Thai ๗๐๐๑ Tibetan ༧༠༠༡ Khmer ៧០០១ Lao ໗໐໐໑ Burmese ၇၀၀၁

Digit at this position in famous constants

π — Pi (π): Digit 7,001 = 7
e — Euler's number (e): Digit 7,001 = 6
φ — Golden ratio (φ): Digit 7,001 = 7
√2 — Pythagoras's (√2): Digit 7,001 = 7
ln 2 — Natural log of 2: Digit 7,001 = 8
γ — Euler-Mascheroni (γ): Digit 7,001 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 6,997 (gap of 4)
Next prime: 7,013 (gap of 12)

Pair status: cousin with 6997.

Unicode codepoint

᭙

Balinese Digit Nine

U+1B59

Decimal digit (Nd)

UTF-8 encoding: E1 AD 99 (3 bytes).

Lookup U+1B59 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001B59

RGB(0, 27, 89)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.89.

Address: 0.0.27.89
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.27.89

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

Musical pitch

Heard as a frequency, 7,001 Hz is closest to:

Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -10¢)
Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +28¢)
Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -8¢)

Position in π

The digit sequence 7001 first appears in π at position 2,338 of the decimal expansion (the 2,338ordinal-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 7001 on Pi Search ↗