4,048
4,048 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 8,404
- Recamán's sequence
- a(14,295) = 4,048
- Square (n²)
- 16,386,304
- Cube (n³)
- 66,331,758,592
- Divisor count
- 20
- σ(n) — sum of divisors
- 8,928
- φ(n) — Euler's totient
- 1,760
- Sum of prime factors
- 42
Primality
Prime factorization: 2 4 × 11 × 23
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- four thousand forty-eight
- Ordinal
- 4048th
- Binary
- 111111010000
- Octal
- 7720
- Hexadecimal
- 0xFD0
- Base64
- D9A=
- One's complement
- 61,487 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δμηʹ
- Mayan (base 20)
- 𝋪·𝋢·𝋨
- Chinese
- 四千零四十八
- Chinese (financial)
- 肆仟零肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,048 = 2
- e — Euler's number (e)
- Digit 4,048 = 5
- φ — Golden ratio (φ)
- Digit 4,048 = 4
- √2 — Pythagoras's (√2)
- Digit 4,048 = 2
- ln 2 — Natural log of 2
- Digit 4,048 = 3
- γ — Euler-Mascheroni (γ)
- Digit 4,048 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4048, here are decompositions:
- 29 + 4019 = 4048
- 41 + 4007 = 4048
- 47 + 4001 = 4048
- 59 + 3989 = 4048
- 101 + 3947 = 4048
- 131 + 3917 = 4048
- 137 + 3911 = 4048
- 167 + 3881 = 4048
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 BF 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.208.
- Address
- 0.0.15.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.208
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.
Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.
The digit sequence 4048 first appears in π at position 11,145 of the decimal expansion (the 11,145ordinal-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.