77,968
77,968 is a composite number, even.
77,968 (seventy-seven thousand nine hundred sixty-eight) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 443. Its proper divisors sum to 87,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x13090.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 37
- Digit product
- 21,168
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 86,977
- Recamán's sequence
- a(124,171) = 77,968
- Square (n²)
- 6,079,009,024
- Cube (n³)
- 473,968,175,583,232
- Divisor count
- 20
- σ(n) — sum of divisors
- 165,168
- φ(n) — Euler's totient
- 35,360
- Sum of prime factors
- 462
Primality
Prime factorization: 2 4 × 11 × 443
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√77,968 = [279; (4, 2, 1, 1, 8, 3, 1, 1, 1, 10, 1, 3, 6, 6, 8, 1, 2, 2, 1, 4, 4, 6, 1, 1, …)]
Representations
- In words
- seventy-seven thousand nine hundred sixty-eight
- Ordinal
- 77968th
- Binary
- 10011000010010000
- Octal
- 230220
- Hexadecimal
- 0x13090
- Base64
- ATCQ
- One's complement
- 4,294,889,327 (32-bit)
- Scientific notation
- 7.7968 × 10⁴
- As a duration
- 77,968 s = 21 hours, 39 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵οζϡξηʹ
- Mayan (base 20)
- 𝋩·𝋮·𝋲·𝋨
- Chinese
- 七萬七千九百六十八
- Chinese (financial)
- 柒萬柒仟玖佰陸拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 77,968 = 0
- e — Euler's number (e)
- Digit 77,968 = 3
- φ — Golden ratio (φ)
- Digit 77,968 = 1
- √2 — Pythagoras's (√2)
- Digit 77,968 = 1
- ln 2 — Natural log of 2
- Digit 77,968 = 0
- γ — Euler-Mascheroni (γ)
- Digit 77,968 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 77968, here are decompositions:
- 17 + 77951 = 77968
- 101 + 77867 = 77968
- 167 + 77801 = 77968
- 257 + 77711 = 77968
- 269 + 77699 = 77968
- 281 + 77687 = 77968
- 347 + 77621 = 77968
- 419 + 77549 = 77968
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 93 82 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.48.144.
- Address
- 0.1.48.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.48.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 77968 first appears in π at position 144,883 of the decimal expansion (the 144,883ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.