126,072
126,072 is a composite number, even.
126,072 (one hundred twenty-six thousand seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 17 × 103. Its proper divisors sum to 238,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EC78.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 270,621
- Recamán's sequence
- a(234,020) = 126,072
- Square (n²)
- 15,894,149,184
- Cube (n³)
- 2,003,807,175,925,248
- Divisor count
- 48
- σ(n) — sum of divisors
- 365,040
- φ(n) — Euler's totient
- 39,168
- Sum of prime factors
- 132
Primality
Prime factorization: 2 3 × 3 2 × 17 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√126,072 = [355; (15, 9, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 9, 15, 710)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-six thousand seventy-two
- Ordinal
- 126072nd
- Binary
- 11110110001111000
- Octal
- 366170
- Hexadecimal
- 0x1EC78
- Base64
- Aex4
- One's complement
- 4,294,841,223 (32-bit)
- Scientific notation
- 1.26072 × 10⁵
- As a duration
- 126,072 s = 1 day, 11 hours, 1 minute, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκϛοβʹ
- Mayan (base 20)
- 𝋯·𝋯·𝋣·𝋬
- Chinese
- 一十二萬六千零七十二
- Chinese (financial)
- 壹拾貳萬陸仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126072, here are decompositions:
- 5 + 126067 = 126072
- 31 + 126041 = 126072
- 41 + 126031 = 126072
- 53 + 126019 = 126072
- 59 + 126013 = 126072
- 61 + 126011 = 126072
- 71 + 126001 = 126072
- 109 + 125963 = 126072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9E B1 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.120.
- Address
- 0.1.236.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.236.120
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 126,072 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 126072 first appears in π at position 672,349 of the decimal expansion (the 672,349ordinal-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°.