170,820
170,820 is a composite number, even.
170,820 (one hundred seventy thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 13 × 73. Its proper divisors sum to 394,836, more than the number itself, making it an abundant number. It is the 584th triangular number. Written other ways, in hexadecimal, 0x29B44.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 28,071
- Recamán's sequence
- a(469,647) = 170,820
- Square (n²)
- 29,179,472,400
- Cube (n³)
- 4,984,437,475,368,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 565,656
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 101
Primality
Prime factorization: 2 2 × 3 2 × 5 × 13 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√170,820 = [413; (3, 3, 2, 2, 1, 3, 1, 6, 22, 1, 4, 2, 1, 1, 1, 12, 1, 11, 1, 90, 1, 11, 1, 12, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventy thousand eight hundred twenty
- Ordinal
- 170820th
- Binary
- 101001101101000100
- Octal
- 515504
- Hexadecimal
- 0x29B44
- Base64
- AptE
- One's complement
- 4,294,796,475 (32-bit)
- Scientific notation
- 1.7082 × 10⁵
- As a duration
- 170,820 s = 1 day, 23 hours, 27 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ροωκʹ
- Chinese
- 一十七萬零八百二十
- Chinese (financial)
- 壹拾柒萬零捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170820, here are decompositions:
- 7 + 170813 = 170820
- 11 + 170809 = 170820
- 19 + 170801 = 170820
- 43 + 170777 = 170820
- 47 + 170773 = 170820
- 53 + 170767 = 170820
- 59 + 170761 = 170820
- 61 + 170759 = 170820
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A9 AD 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.155.68.
- Address
- 0.2.155.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.155.68
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 170,820 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 170820 first appears in π at position 258,913 of the decimal expansion (the 258,913ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.