104,220
104,220 is a composite number, even.
104,220 (one hundred four thousand two hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 5 × 193. Its proper divisors sum to 221,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1971C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 22,401
- Recamán's sequence
- a(93,663) = 104,220
- Square (n²)
- 10,861,808,400
- Cube (n³)
- 1,132,017,671,448,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 325,920
- φ(n) — Euler's totient
- 27,648
- Sum of prime factors
- 211
Primality
Prime factorization: 2 2 × 3 3 × 5 × 193
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√104,220 = [322; (1, 4, 1, 12, 2, 1, 10, 3, 1, 2, 1, 1, 1, 17, 3, 3, 11, 4, 2, 1, 2, 1, 10, 1, …)]
Representations
- In words
- one hundred four thousand two hundred twenty
- Ordinal
- 104220th
- Binary
- 11001011100011100
- Octal
- 313434
- Hexadecimal
- 0x1971C
- Base64
- AZcc
- One's complement
- 4,294,863,075 (32-bit)
- Scientific notation
- 1.0422 × 10⁵
- As a duration
- 104,220 s = 1 day, 4 hours, 57 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρδσκʹ
- Mayan (base 20)
- 𝋭·𝋠·𝋫·𝋠
- Chinese
- 一十萬四千二百二十
- Chinese (financial)
- 壹拾萬肆仟貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104220, here are decompositions:
- 13 + 104207 = 104220
- 37 + 104183 = 104220
- 41 + 104179 = 104220
- 47 + 104173 = 104220
- 59 + 104161 = 104220
- 71 + 104149 = 104220
- 73 + 104147 = 104220
- 97 + 104123 = 104220
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.28.
- Address
- 0.1.151.28
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.151.28
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 104,220 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 104220 first appears in π at position 632,428 of the decimal expansion (the 632,428ordinal-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°.