Number

76,001

76,001 is a prime, odd.

76,001 (seventy-six thousand one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x128E1.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

12 notable facts · grade A

75,989 75,990 75,991 75,992 75,993 75,994 75,995 75,996 75,997 75,998 75,999 76,000 76,001 76,002 76,003 76,004 76,005 76,006 76,007 76,008 76,009 76,010 76,011 76,012 76,013

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 10,067
Recamán's sequence: a(276,134) = 76,001
Square (n²): 5,776,152,001
Cube (n³): 438,993,328,228,001
Divisor count: 2
σ(n) — sum of divisors: 76,002
φ(n) — Euler's totient: 76,000

Primality

76,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 76001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 76,001)

1 × 76001

First multiples

76,001 · 152,002 (double) · 228,003 · 304,004 · 380,005 · 456,006 · 532,007 · 608,008 · 684,009 · 760,010

Sums & aliquot sequence

As a sum of two squares: 76² + 265²

As consecutive integers: 38,000 + 38,001

Continued fraction of √n

√76,001 = [275; (1, 2, 6, 1, 1, 3, 1, 3, 2, 1, 2, 1, 2, 1, 2, 1, 1, 7, 1, 1, 1, 6, 1, 8, …)]

Representations

In words: seventy-six thousand one
Ordinal: 76001st
Binary: 10010100011100001
Octal: 224341
Hexadecimal: 0x128E1
Base64: ASjh
One's complement: 4,294,891,294 (32-bit)
Scientific notation: 7.6001 × 10⁴
As a duration: 76,001 s = 21 hours, 6 minutes, 41 seconds

In other bases

ternary (3) 10212020212

quaternary (4) 102203201

quinary (5) 4413001

senary (6) 1343505

septenary (7) 434402

nonary (9) 125225

undecimal (11) 52112

duodecimal (12) 37b95

tridecimal (13) 28793

tetradecimal (14) 1d9a9

pentadecimal (15) 177bb

As an angle

76,001° = 211 × 360° + 41°

41° ≈ 0.716 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian): ͵οϛαʹ
Mayan (base 20): 𝋩·𝋪·𝋠·𝋡
Chinese: 七萬六千零一
Chinese (financial): 柒萬陸仟零壹

In other modern scripts

Eastern Arabic ٧٦٠٠١ Devanagari ७६००१ Bengali ৭৬০০১ Tamil ௭௬௦௦௧ Thai ๗๖๐๐๑ Tibetan ༧༦༠༠༡ Khmer ៧៦០០១ Lao ໗໖໐໐໑ Burmese ၇၆၀၀၁

Digit at this position in famous constants

π — Pi (π): Digit 76,001 = 6
e — Euler's number (e): Digit 76,001 = 8
φ — Golden ratio (φ): Digit 76,001 = 0
√2 — Pythagoras's (√2): Digit 76,001 = 7
ln 2 — Natural log of 2: Digit 76,001 = 7
γ — Euler-Mascheroni (γ): Digit 76,001 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 75,997 (gap of 4)
Next prime: 76,003 (gap of 2)

Pair status: twin with 76003, cousin with 75997.

Hex color

#0128E1

RGB(1, 40, 225)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.40.225.

Address: 0.1.40.225
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.40.225

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

Position in π

The digit sequence 76001 first appears in π at position 109,220 of the decimal expansion (the 109,220ordinal-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 76001 on Pi Search ↗