Live analysis

104,442

104,442 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

104,442 (one hundred four thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 13² × 103. Its proper divisors sum to 123,942, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x197FA.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

104,430 104,431 104,432 104,433 104,434 104,435 104,436 104,437 104,438 104,439 104,440 104,441 104,442 104,443 104,444 104,445 104,446 104,447 104,448 104,449 104,450 104,451 104,452 104,453 104,454

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 244,401
Recamán's sequence: a(92,307) = 104,442
Square (n²): 10,908,131,364
Cube (n³): 1,139,267,055,918,888
Divisor count: 24
σ(n) — sum of divisors: 228,384
φ(n) — Euler's totient: 31,824
Sum of prime factors: 134

Primality

Prime factorization: 2 × 3 × 13 ² × 103

Nearest primes: 104,417 (−25) · 104,459 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 103 · 169 · 206 · 309 · 338 · 507 · 618 · 1014 · 1339 · 2678 · 4017 · 8034 · 17407 · 34814 · 52221 (half) · 104442

Aliquot sum (sum of proper divisors): 123,942

Factor pairs (a × b = 104,442)

1 × 104442

2 × 52221

3 × 34814

6 × 17407

13 × 8034

26 × 4017

39 × 2678

78 × 1339

103 × 1014

169 × 618

206 × 507

309 × 338

First multiples

104,442 · 208,884 (double) · 313,326 · 417,768 · 522,210 · 626,652 · 731,094 · 835,536 · 939,978 · 1,044,420

Sums & aliquot sequence

As consecutive integers: 34,813 + 34,814 + 34,815 26,109 + 26,110 + 26,111 + 26,112 8,698 + 8,699 + … + 8,709 8,028 + 8,029 + … + 8,040

Aliquot sequence: 104,442 → 123,942 → 182,490 → 370,470 → 539,322 → 693,510 → 970,986 → 970,998 → 1,290,762 → 1,975,158 → 2,479,242 → 2,479,254 → 2,497,386 → 2,714,838 → 3,661,866 → 4,883,034 → 5,634,438 — unresolved within range

Continued fraction of √n

√104,442 = [323; (5, 1, 2, 1, 1, 4, 2, 3, 2, 1, 2, 12, 1, 4, 1, 1, 4, 3, 1, 1, 1, 1, 8, 8, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand four hundred forty-two
Ordinal: 104442nd
Binary: 11001011111111010
Octal: 313772
Hexadecimal: 0x197FA
Base64: AZf6
One's complement: 4,294,862,853 (32-bit)
Scientific notation: 1.04442 × 10⁵
As a duration: 104,442 s = 1 day, 5 hours, 42 seconds

In other bases

ternary (3) 12022021020

quaternary (4) 121133322

quinary (5) 11320232

senary (6) 2123310

septenary (7) 613332

nonary (9) 168236

undecimal (11) 71518

duodecimal (12) 50536

tridecimal (13) 38700

tetradecimal (14) 2a0c2

pentadecimal (15) 20e2c

As an angle

104,442° = 290 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρδυμβʹ
Mayan (base 20): 𝋭·𝋡·𝋢·𝋢
Chinese: 一十萬四千四百四十二
Chinese (financial): 壹拾萬肆仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٤٤٤٢ Devanagari १०४४४२ Bengali ১০৪৪৪২ Tamil ௧௦௪௪௪௨ Thai ๑๐๔๔๔๒ Tibetan ༡༠༤༤༤༢ Khmer ១០៤៤៤២ Lao ໑໐໔໔໔໒ Burmese ၁၀၄၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104442, here are decompositions:

43 + 104399 = 104442
59 + 104383 = 104442
61 + 104381 = 104442
73 + 104369 = 104442
131 + 104311 = 104442
199 + 104243 = 104442
211 + 104231 = 104442
263 + 104179 = 104442

Showing the first eight; more decompositions exist.

Hex color

#0197FA

RGB(1, 151, 250)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.250.

Address: 0.1.151.250
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.151.250

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 104,442 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US104,442 on Google Patents ↗ Look up on USPTO ↗