138,824
138,824 is a composite number, even.
138,824 (one hundred thirty-eight thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 37 × 67. Its proper divisors sum to 171,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E48.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 1,536
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 428,831
- Recamán's sequence
- a(491,179) = 138,824
- Square (n²)
- 19,272,102,976
- Cube (n³)
- 2,675,430,423,540,224
- Divisor count
- 32
- σ(n) — sum of divisors
- 310,080
- φ(n) — Euler's totient
- 57,024
- Sum of prime factors
- 117
Primality
Prime factorization: 2 3 × 7 × 37 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,824 = [372; (1, 1, 2, 4, 106, 4, 2, 1, 1, 744)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand eight hundred twenty-four
- Ordinal
- 138824th
- Binary
- 100001111001001000
- Octal
- 417110
- Hexadecimal
- 0x21E48
- Base64
- Ah5I
- One's complement
- 4,294,828,471 (32-bit)
- Scientific notation
- 1.38824 × 10⁵
- As a duration
- 138,824 s = 1 day, 14 hours, 33 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληωκδʹ
- Mayan (base 20)
- 𝋱·𝋧·𝋡·𝋤
- Chinese
- 一十三萬八千八百二十四
- Chinese (financial)
- 壹拾參萬捌仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138824, here are decompositions:
- 3 + 138821 = 138824
- 31 + 138793 = 138824
- 61 + 138763 = 138824
- 97 + 138727 = 138824
- 163 + 138661 = 138824
- 277 + 138547 = 138824
- 307 + 138517 = 138824
- 313 + 138511 = 138824
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B9 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.72.
- Address
- 0.2.30.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.30.72
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 138,824 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 138824 first appears in π at position 918,052 of the decimal expansion (the 918,052ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.