122,672
122,672 is a composite number, even.
122,672 (one hundred twenty-two thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 17 × 41. Its proper divisors sum to 158,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 336
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 276,221
- Square (n²)
- 15,048,419,584
- Cube (n³)
- 1,846,019,727,208,448
- Divisor count
- 40
- σ(n) — sum of divisors
- 281,232
- φ(n) — Euler's totient
- 51,200
- Sum of prime factors
- 77
Primality
Prime factorization: 2 4 × 11 × 17 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,672 = [350; (4, 14, 21, 1, 4, 1, 1, 3, 1, 1, 2, 43, 2, 1, 1, 3, 1, 1, 4, 1, 21, 14, 4, 700)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand six hundred seventy-two
- Ordinal
- 122672nd
- Binary
- 11101111100110000
- Octal
- 357460
- Hexadecimal
- 0x1DF30
- Base64
- Ad8w
- One's complement
- 4,294,844,623 (32-bit)
- Scientific notation
- 1.22672 × 10⁵
- As a duration
- 122,672 s = 1 day, 10 hours, 4 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκβχοβʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋭·𝋬
- Chinese
- 一十二萬二千六百七十二
- Chinese (financial)
- 壹拾貳萬貳仟陸佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122672, here are decompositions:
- 19 + 122653 = 122672
- 61 + 122611 = 122672
- 73 + 122599 = 122672
- 139 + 122533 = 122672
- 163 + 122509 = 122672
- 223 + 122449 = 122672
- 229 + 122443 = 122672
- 271 + 122401 = 122672
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.48.
- Address
- 0.1.223.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.48
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 122,672 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 122672 first appears in π at position 662,003 of the decimal expansion (the 662,003ordinal-suffix:rd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.