137,410
137,410 is a composite number, even.
137,410 (one hundred thirty-seven thousand four hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 13 × 151. Its proper divisors sum to 169,022, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218C2.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 14,731
- Recamán's sequence
- a(37,624) = 137,410
- Square (n²)
- 18,881,508,100
- Cube (n³)
- 2,594,508,028,021,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 306,432
- φ(n) — Euler's totient
- 43,200
- Sum of prime factors
- 178
Primality
Prime factorization: 2 × 5 × 7 × 13 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,410 = [370; (1, 2, 4, 1, 2, 1, 10, 2, 52, 2, 10, 1, 2, 1, 4, 2, 1, 740)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred ten
- Ordinal
- 137410th
- Binary
- 100001100011000010
- Octal
- 414302
- Hexadecimal
- 0x218C2
- Base64
- AhjC
- One's complement
- 4,294,829,885 (32-bit)
- Scientific notation
- 1.3741 × 10⁵
- As a duration
- 137,410 s = 1 day, 14 hours, 10 minutes, 10 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆
- Greek (Milesian)
- ͵ρλζυιʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋪·𝋪
- Chinese
- 一十三萬七千四百一十
- Chinese (financial)
- 壹拾參萬柒仟肆佰壹拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137410, here are decompositions:
- 11 + 137399 = 137410
- 17 + 137393 = 137410
- 23 + 137387 = 137410
- 41 + 137369 = 137410
- 47 + 137363 = 137410
- 71 + 137339 = 137410
- 89 + 137321 = 137410
- 107 + 137303 = 137410
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A3 82 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.194.
- Address
- 0.2.24.194
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.194
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 137,410 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 137410 first appears in π at position 379,946 of the decimal expansion (the 379,946ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.