2,472
2,472 is a composite number, even.
2,472 (two thousand four hundred seventy-two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 103. Its proper divisors sum to 3,768, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCDLXXII and in binary, 100110101000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 15
- Digit product
- 112
- Digital root
- 6
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 2,742
- Recamán's sequence
- a(2,995) = 2,472
- Square (n²)
- 6,110,784
- Cube (n³)
- 15,105,858,048
- Divisor count
- 16
- σ(n) — sum of divisors
- 6,240
- φ(n) — Euler's totient
- 816
- Sum of prime factors
- 112
Primality
Prime factorization: 2 3 × 3 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,472 = [49; (1, 2, 1, 1, 3, 1, 1, 2, 1, 98)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- two thousand four hundred seventy-two
- Ordinal
- 2472nd
- Roman numeral
- MMCDLXXII
- Binary
- 100110101000
- Octal
- 4650
- Hexadecimal
- 0x9A8
- Base64
- Cag=
- One's complement
- 63,063 (16-bit)
- Scientific notation
- 2.472 × 10³
- As a duration
- 2,472 s = 41 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βυοβʹ
- Mayan (base 20)
- 𝋦·𝋣·𝋬
- Chinese
- 二千四百七十二
- Chinese (financial)
- 貳仟肆佰柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,472 = 7
- e — Euler's number (e)
- Digit 2,472 = 3
- φ — Golden ratio (φ)
- Digit 2,472 = 9
- √2 — Pythagoras's (√2)
- Digit 2,472 = 9
- ln 2 — Natural log of 2
- Digit 2,472 = 7
- γ — Euler-Mascheroni (γ)
- Digit 2,472 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2472, here are decompositions:
- 5 + 2467 = 2472
- 13 + 2459 = 2472
- 31 + 2441 = 2472
- 61 + 2411 = 2472
- 73 + 2399 = 2472
- 79 + 2393 = 2472
- 83 + 2389 = 2472
- 89 + 2383 = 2472
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 A6 A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.168.
- Address
- 0.0.9.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.9.168
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,472 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -12¢)
- Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +26¢)
- Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -11¢)
The digit sequence 2472 first appears in π at position 13,028 of the decimal expansion (the 13,028ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.