10,072
10,072 is a composite number, even.
10,072 (ten thousand seventy-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2³ × 1,259. Written other ways, in hexadecimal, 0x2758.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 27,001
- Recamán's sequence
- a(4,931) = 10,072
- Square (n²)
- 101,445,184
- Cube (n³)
- 1,021,755,893,248
- Divisor count
- 8
- σ(n) — sum of divisors
- 18,900
- φ(n) — Euler's totient
- 5,032
- Sum of prime factors
- 1,265
Primality
Prime factorization: 2 3 × 1259
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,072 = [100; (2, 1, 3, 1, 1, 1, 1, 11, 5, 16, 1, 1, 7, 1, 5, 1, 1, 2, 4, 1, 3, 22, 25, 22, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand seventy-two
- Ordinal
- 10072nd
- Binary
- 10011101011000
- Octal
- 23530
- Hexadecimal
- 0x2758
- Base64
- J1g=
- One's complement
- 55,463 (16-bit)
- Scientific notation
- 1.0072 × 10⁴
- As a duration
- 10,072 s = 2 hours, 47 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιοβʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋣·𝋬
- Chinese
- 一萬零七十二
- Chinese (financial)
- 壹萬零柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,072 = 3
- e — Euler's number (e)
- Digit 10,072 = 3
- φ — Golden ratio (φ)
- Digit 10,072 = 6
- √2 — Pythagoras's (√2)
- Digit 10,072 = 6
- ln 2 — Natural log of 2
- Digit 10,072 = 4
- γ — Euler-Mascheroni (γ)
- Digit 10,072 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10072, here are decompositions:
- 3 + 10069 = 10072
- 5 + 10067 = 10072
- 11 + 10061 = 10072
- 131 + 9941 = 10072
- 149 + 9923 = 10072
- 233 + 9839 = 10072
- 239 + 9833 = 10072
- 269 + 9803 = 10072
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 9D 98 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.88.
- Address
- 0.0.39.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.39.88
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,072 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +20¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -42¢)
- Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +21¢)
The digit sequence 10072 first appears in π at position 4,075 of the decimal expansion (the 4,075ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.