λ
Zalai Atlas

3,636,756

22 × 32 × 101021
Abundant Even Composite

3,636,756 has the prime decomposition 2^2 × 3^2 × 101021. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,193,002
Proper Divisor Sum 5,556,246
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3636709 ← → #3636757

Radix Representation

Decimal 3636756
Binary 1101110111111000010100 (22 bits)
Octal 0o15677024
Hexadecimal 0x377E14

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 101,021 202,042 303,063 404,084 606,126 909,189 1,212,252 1,818,378 3,636,756

Collatz Trajectory (110 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,636,756 1,818,378 909,189 2,727,568 1,363,784 681,892 340,946 170,473 511,420 255,710 127,855 383,566 191,783 575,350 287,675 863,026 431,513 1,294,540 647,270 323,635 970,906 485,453 1,456,360 728,180 364,090 182,045 546,136 273,068 136,534 68,267 204,802 102,401 307,204 153,602 76,801 230,404 115,202 57,601 172,804 86,402 43,201 129,604 64,802 32,401 97,204 48,602 24,301 72,904 36,452 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845

More profiles

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