138,672
138,672 is a composite number, even.
138,672 (one hundred thirty-eight thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 3⁴ × 107. Its proper divisors sum to 266,436, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DB0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 2,016
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 276,831
- Recamán's sequence
- a(491,483) = 138,672
- Square (n²)
- 19,229,923,584
- Cube (n³)
- 2,666,651,963,240,448
- Divisor count
- 50
- σ(n) — sum of divisors
- 405,108
- φ(n) — Euler's totient
- 45,792
- Sum of prime factors
- 127
Primality
Prime factorization: 2 4 × 3 4 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,672 = [372; (2, 1, 1, 2, 2, 4, 1, 3, 23, 82, 1, 2, 2, 3, 1, 45, 1, 3, 2, 2, 1, 82, 23, 3, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand six hundred seventy-two
- Ordinal
- 138672nd
- Binary
- 100001110110110000
- Octal
- 416660
- Hexadecimal
- 0x21DB0
- Base64
- Ah2w
- One's complement
- 4,294,828,623 (32-bit)
- Scientific notation
- 1.38672 × 10⁵
- As a duration
- 138,672 s = 1 day, 14 hours, 31 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρληχοβʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋭·𝋬
- Chinese
- 一十三萬八千六百七十二
- Chinese (financial)
- 壹拾參萬捌仟陸佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138672, here are decompositions:
- 11 + 138661 = 138672
- 31 + 138641 = 138672
- 43 + 138629 = 138672
- 73 + 138599 = 138672
- 101 + 138571 = 138672
- 103 + 138569 = 138672
- 109 + 138563 = 138672
- 113 + 138559 = 138672
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B6 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.176.
- Address
- 0.2.29.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.176
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 138,672 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 138672 first appears in π at position 682,250 of the decimal expansion (the 682,250ordinal-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°.