138,072
138,072 is a composite number, even.
138,072 (one hundred thirty-eight thousand seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 523. Its proper divisors sum to 239,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 270,831
- Recamán's sequence
- a(492,683) = 138,072
- Square (n²)
- 19,063,877,184
- Cube (n³)
- 2,632,187,650,549,248
- Divisor count
- 32
- σ(n) — sum of divisors
- 377,280
- φ(n) — Euler's totient
- 41,760
- Sum of prime factors
- 543
Primality
Prime factorization: 2 3 × 3 × 11 × 523
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,072 = [371; (1, 1, 2, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 3, 1, 8, 15, 18, 1, 91, 1, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand seventy-two
- Ordinal
- 138072nd
- Binary
- 100001101101011000
- Octal
- 415530
- Hexadecimal
- 0x21B58
- Base64
- AhtY
- One's complement
- 4,294,829,223 (32-bit)
- Scientific notation
- 1.38072 × 10⁵
- As a duration
- 138,072 s = 1 day, 14 hours, 21 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρληοβʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋣·𝋬
- Chinese
- 一十三萬八千零七十二
- Chinese (financial)
- 壹拾參萬捌仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138072, here are decompositions:
- 13 + 138059 = 138072
- 19 + 138053 = 138072
- 31 + 138041 = 138072
- 73 + 137999 = 138072
- 79 + 137993 = 138072
- 89 + 137983 = 138072
- 131 + 137941 = 138072
- 139 + 137933 = 138072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AD 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.88.
- Address
- 0.2.27.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.88
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 138,072 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 138072 first appears in π at position 847,803 of the decimal expansion (the 847,803ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.