Number

76,801

76,801 is a prime, odd.

76,801 (seventy-six thousand eight hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x12C01.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

76,789 76,790 76,791 76,792 76,793 76,794 76,795 76,796 76,797 76,798 76,799 76,800 76,801 76,802 76,803 76,804 76,805 76,806 76,807 76,808 76,809 76,810 76,811 76,812 76,813

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Properties

Parity: Odd
Digit count: 5
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 10,867
Recamán's sequence: a(274,534) = 76,801
Square (n²): 5,898,393,601
Cube (n³): 453,002,526,950,401
Divisor count: 2
σ(n) — sum of divisors: 76,802
φ(n) — Euler's totient: 76,800

Primality

76,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 76801

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 76,801)

1 × 76801

First multiples

76,801 · 153,602 (double) · 230,403 · 307,204 · 384,005 · 460,806 · 537,607 · 614,408 · 691,209 · 768,010

Sums & aliquot sequence

As a sum of two squares: 25² + 276²

As consecutive integers: 38,400 + 38,401

Continued fraction of √n

√76,801 = [277; (7, 1, 2, 3, 2, 2, 1, 2, 1, 2, 1, 3, 11, 23, 184, 1, 2, 2, 4, 3, 4, 5, 10, 3, …)]

Representations

In words: seventy-six thousand eight hundred one
Ordinal: 76801st
Binary: 10010110000000001
Octal: 226001
Hexadecimal: 0x12C01
Base64: ASwB
One's complement: 4,294,890,494 (32-bit)
Scientific notation: 7.6801 × 10⁴
As a duration: 76,801 s = 21 hours, 20 minutes, 1 second

In other bases

ternary (3) 10220100111

quaternary (4) 102300001

quinary (5) 4424201

senary (6) 1351321

septenary (7) 436624

nonary (9) 126314

undecimal (11) 5277a

duodecimal (12) 38541

tridecimal (13) 28c5a

tetradecimal (14) 1ddbb

pentadecimal (15) 17b51

As an angle

76,801° = 213 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵οϛωαʹ
Mayan (base 20): 𝋩·𝋬·𝋠·𝋡
Chinese: 七萬六千八百零一
Chinese (financial): 柒萬陸仟捌佰零壹

In other modern scripts

Eastern Arabic ٧٦٨٠١ Devanagari ७६८०१ Bengali ৭৬৮০১ Tamil ௭௬௮௦௧ Thai ๗๖๘๐๑ Tibetan ༧༦༨༠༡ Khmer ៧៦៨០១ Lao ໗໖໘໐໑ Burmese ၇၆၈၀၁

Digit at this position in famous constants

π — Pi (π): Digit 76,801 = 5
e — Euler's number (e): Digit 76,801 = 2
φ — Golden ratio (φ): Digit 76,801 = 3
√2 — Pythagoras's (√2): Digit 76,801 = 6
ln 2 — Natural log of 2: Digit 76,801 = 1
γ — Euler-Mascheroni (γ): Digit 76,801 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 76,781 (gap of 20)
Next prime: 76,819 (gap of 18)

Hex color

#012C01

RGB(1, 44, 1)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.44.1.

Address: 0.1.44.1
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.44.1

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

Position in π

The digit sequence 76801 first appears in π at position 43,583 of the decimal expansion (the 43,583ordinal-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 76801 on Pi Search ↗