138,372
138,372 is a composite number, even.
138,372 (one hundred thirty-eight thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 887. Its proper divisors sum to 209,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C84.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,008
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 273,831
- Recamán's sequence
- a(492,083) = 138,372
- Square (n²)
- 19,146,810,384
- Cube (n³)
- 2,649,382,446,454,848
- Divisor count
- 24
- σ(n) — sum of divisors
- 348,096
- φ(n) — Euler's totient
- 42,528
- Sum of prime factors
- 907
Primality
Prime factorization: 2 2 × 3 × 13 × 887
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,372 = [371; (1, 60, 1, 742)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand three hundred seventy-two
- Ordinal
- 138372nd
- Binary
- 100001110010000100
- Octal
- 416204
- Hexadecimal
- 0x21C84
- Base64
- AhyE
- One's complement
- 4,294,828,923 (32-bit)
- Scientific notation
- 1.38372 × 10⁵
- As a duration
- 138,372 s = 1 day, 14 hours, 26 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλητοβʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋲·𝋬
- Chinese
- 一十三萬八千三百七十二
- Chinese (financial)
- 壹拾參萬捌仟參佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138372, here are decompositions:
- 23 + 138349 = 138372
- 53 + 138319 = 138372
- 61 + 138311 = 138372
- 83 + 138289 = 138372
- 89 + 138283 = 138372
- 131 + 138241 = 138372
- 163 + 138209 = 138372
- 181 + 138191 = 138372
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B2 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.132.
- Address
- 0.2.28.132
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.132
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 138,372 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 138372 first appears in π at position 363,442 of the decimal expansion (the 363,442ordinal-suffix:nd 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°.