4,144
4,144 is a composite number, even.
4,144 (four thousand one hundred forty-four) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 37. Its proper divisors sum to 5,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1030.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 13
- Digit product
- 64
- Digital root
- 4
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,414
- Recamán's sequence
- a(28,788) = 4,144
- Square (n²)
- 17,172,736
- Cube (n³)
- 71,163,817,984
- Divisor count
- 20
- σ(n) — sum of divisors
- 9,424
- φ(n) — Euler's totient
- 1,728
- Sum of prime factors
- 52
Primality
Prime factorization: 2 4 × 7 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,144 = [64; (2, 1, 2, 13, 1, 13, 2, 1, 2, 128)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- four thousand one hundred forty-four
- Ordinal
- 4144th
- Binary
- 1000000110000
- Octal
- 10060
- Hexadecimal
- 0x1030
- Base64
- EDA=
- One's complement
- 61,391 (16-bit)
- Scientific notation
- 4.144 × 10³
- As a duration
- 4,144 s = 1 hour, 9 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δρμδʹ
- Mayan (base 20)
- 𝋪·𝋧·𝋤
- Chinese
- 四千一百四十四
- Chinese (financial)
- 肆仟壹佰肆拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,144 = 7
- e — Euler's number (e)
- Digit 4,144 = 4
- φ — Golden ratio (φ)
- Digit 4,144 = 5
- √2 — Pythagoras's (√2)
- Digit 4,144 = 7
- ln 2 — Natural log of 2
- Digit 4,144 = 3
- γ — Euler-Mascheroni (γ)
- Digit 4,144 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4144, here are decompositions:
- 5 + 4139 = 4144
- 11 + 4133 = 4144
- 17 + 4127 = 4144
- 53 + 4091 = 4144
- 71 + 4073 = 4144
- 131 + 4013 = 4144
- 137 + 4007 = 4144
- 197 + 3947 = 4144
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 80 B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.48.
- Address
- 0.0.16.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.16.48
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,144 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -17¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +20¢)
- Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -16¢)
The digit sequence 4144 first appears in π at position 1,637 of the decimal expansion (the 1,637ordinal-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.