137,472
137,472 is a composite number, even.
137,472 (one hundred thirty-seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 3 × 179. Its proper divisors sum to 230,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21900.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,176
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 274,731
- Square (n²)
- 18,898,550,784
- Cube (n³)
- 2,598,021,573,378,048
- Divisor count
- 36
- σ(n) — sum of divisors
- 367,920
- φ(n) — Euler's totient
- 45,568
- Sum of prime factors
- 198
Primality
Prime factorization: 2 8 × 3 × 179
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,472 = [370; (1, 3, 2, 1, 1, 3, 10, 6, 32, 12, 1, 45, 2, 2, 1, 3, 7, 1, 3, 1, 3, 1, 1, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred seventy-two
- Ordinal
- 137472nd
- Binary
- 100001100100000000
- Octal
- 414400
- Hexadecimal
- 0x21900
- Base64
- AhkA
- One's complement
- 4,294,829,823 (32-bit)
- Scientific notation
- 1.37472 × 10⁵
- As a duration
- 137,472 s = 1 day, 14 hours, 11 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλζυοβʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋭·𝋬
- Chinese
- 一十三萬七千四百七十二
- Chinese (financial)
- 壹拾參萬柒仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137472, here are decompositions:
- 19 + 137453 = 137472
- 29 + 137443 = 137472
- 59 + 137413 = 137472
- 73 + 137399 = 137472
- 79 + 137393 = 137472
- 89 + 137383 = 137472
- 103 + 137369 = 137472
- 109 + 137363 = 137472
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A4 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.0.
- Address
- 0.2.25.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.0
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 137,472 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 137472 first appears in π at position 801,038 of the decimal expansion (the 801,038ordinal-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°.