138,972
138,972 is a composite number, even.
138,972 (one hundred thirty-eight thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 37 × 313. Its proper divisors sum to 195,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EDC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 3,024
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 279,831
- Recamán's sequence
- a(490,883) = 138,972
- Square (n²)
- 19,313,216,784
- Cube (n³)
- 2,683,996,362,906,048
- Divisor count
- 24
- σ(n) — sum of divisors
- 334,096
- φ(n) — Euler's totient
- 44,928
- Sum of prime factors
- 357
Primality
Prime factorization: 2 2 × 3 × 37 × 313
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,972 = [372; (1, 3, 1, 3, 248, 3, 1, 3, 1, 744)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand nine hundred seventy-two
- Ordinal
- 138972nd
- Binary
- 100001111011011100
- Octal
- 417334
- Hexadecimal
- 0x21EDC
- Base64
- Ah7c
- One's complement
- 4,294,828,323 (32-bit)
- Scientific notation
- 1.38972 × 10⁵
- As a duration
- 138,972 s = 1 day, 14 hours, 36 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρληϡοβʹ
- Mayan (base 20)
- 𝋱·𝋧·𝋨·𝋬
- Chinese
- 一十三萬八千九百七十二
- Chinese (financial)
- 壹拾參萬捌仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138972, here are decompositions:
- 5 + 138967 = 138972
- 13 + 138959 = 138972
- 73 + 138899 = 138972
- 79 + 138893 = 138972
- 83 + 138889 = 138972
- 89 + 138883 = 138972
- 103 + 138869 = 138972
- 109 + 138863 = 138972
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 BB 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.220.
- Address
- 0.2.30.220
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.30.220
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 138,972 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 138972 first appears in π at position 398,051 of the decimal expansion (the 398,051ordinal-suffix:st 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°.