Live analysis

105,242

105,242 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.).

105,242 (one hundred five thousand two hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 101 × 521. Written other ways, in hexadecimal, 0x19B1A.

Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

105,230 105,231 105,232 105,233 105,234 105,235 105,236 105,237 105,238 105,239 105,240 105,241 105,242 105,243 105,244 105,245 105,246 105,247 105,248 105,249 105,250 105,251 105,252 105,253 105,254

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Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 242,501
Recamán's sequence: a(89,975) = 105,242
Square (n²): 11,075,878,564
Cube (n³): 1,165,647,611,832,488
Divisor count: 8
σ(n) — sum of divisors: 159,732
φ(n) — Euler's totient: 52,000
Sum of prime factors: 624

Primality

Prime factorization: 2 × 101 × 521

Nearest primes: 105,239 (−3) · 105,251 (+9)

Divisors & multiples

All divisors (8)

1 · 2 · 101 · 202 · 521 · 1042 · 52621 (half) · 105242

Aliquot sum (sum of proper divisors): 54,490

Factor pairs (a × b = 105,242)

1 × 105242

2 × 52621

101 × 1042

202 × 521

First multiples

105,242 · 210,484 (double) · 315,726 · 420,968 · 526,210 · 631,452 · 736,694 · 841,936 · 947,178 · 1,052,420

Sums & aliquot sequence

As a sum of two squares: 59² + 319² = 121² + 301²

As consecutive integers: 26,309 + 26,310 + 26,311 + 26,312 992 + 993 + … + 1,092 59 + 60 + … + 462

Aliquot sequence: 105,242 → 54,490 → 43,610 → 48,730 → 47,174 → 24,586 → 14,294 → 10,234 → 8,774 → 4,834 → 2,420 → 3,166 → 1,586 → 1,018 → 512 → 511 → 81 — unresolved within range

Continued fraction of √n

√105,242 = [324; (2, 2, 3, 1, 1, 28, 1, 12, 1, 5, 5, 5, 5, 1, 12, 1, 28, 1, 1, 3, 2, 2, 648)]

Period length 23 — the block in parentheses repeats forever.

Representations

In words: one hundred five thousand two hundred forty-two
Ordinal: 105242nd
Binary: 11001101100011010
Octal: 315432
Hexadecimal: 0x19B1A
Base64: AZsa
One's complement: 4,294,862,053 (32-bit)
Scientific notation: 1.05242 × 10⁵
As a duration: 105,242 s = 1 day, 5 hours, 14 minutes, 2 seconds

In other bases

ternary (3) 12100100212

quaternary (4) 121230122

quinary (5) 11331432

senary (6) 2131122

septenary (7) 615554

nonary (9) 170325

undecimal (11) 72085

duodecimal (12) 50aa2

tridecimal (13) 38b97

tetradecimal (14) 2a4d4

pentadecimal (15) 212b2

As an angle

105,242° = 292 × 360° + 122°

122° ≈ 2.129 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρεσμβʹ
Mayan (base 20): 𝋭·𝋣·𝋢·𝋢
Chinese: 一十萬五千二百四十二
Chinese (financial): 壹拾萬伍仟貳佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٥٢٤٢ Devanagari १०५२४२ Bengali ১০৫২৪২ Tamil ௧௦௫௨௪௨ Thai ๑๐๕๒๔๒ Tibetan ༡༠༥༢༤༢ Khmer ១០៥២៤២ Lao ໑໐໕໒໔໒ Burmese ၁၀၅၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105242, here are decompositions:

3 + 105239 = 105242
13 + 105229 = 105242
31 + 105211 = 105242
43 + 105199 = 105242
211 + 105031 = 105242
223 + 105019 = 105242
271 + 104971 = 105242
283 + 104959 = 105242

Showing the first eight; more decompositions exist.

Hex color

#019B1A

RGB(1, 155, 26)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.155.26.

Address: 0.1.155.26
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.155.26

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 105,242 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 US105,242 on Google Patents ↗ Look up on USPTO ↗