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Number

7,001

7,001 is a prime, odd.

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

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

Representations

In words
seven thousand one
Ordinal
7001st
Binary
1101101011001
Octal
15531
Hexadecimal
0x1B59
Base64
G1k=
One's complement
58,534 (16-bit)
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

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
Balinese Digit Nine
U+1B59
Decimal digit (Nd)

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

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.

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.