3,636,735

3 × 5 × 242449

3,636,735 factors as 3 × 5 × 242449. Its 8 positive divisors give a proper-divisor sum of 2,182,065, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 5 × 242449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,818,800

Proper Divisor Sum 2,182,065

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3636709 ← → #3636757

Radix Representation

Decimal	3636735
Binary	1101110111110111111111 (22 bits)
Octal	0o15676777
Hexadecimal	0x377DFF

Divisor Catalog (8)

1 3 5 15 242,449 727,347 1,212,245 3,636,735

Collatz Trajectory (159 steps to reach 1)

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

3,636,735 10,910,206 5,455,103 16,365,310 8,182,655 24,547,966 12,273,983 36,821,950 18,410,975 55,232,926 27,616,463 82,849,390 41,424,695 124,274,086 62,137,043 186,411,130 93,205,565 279,616,696 139,808,348 69,904,174 34,952,087 104,856,262 52,428,131 157,284,394 78,642,197 235,926,592 117,963,296 58,981,648 29,490,824 14,745,412 7,372,706 3,686,353 11,059,060 5,529,530 2,764,765 8,294,296 4,147,148 2,073,574 1,036,787 3,110,362 1,555,181 4,665,544 2,332,772 1,166,386 583,193 1,749,580 874,790 437,395 1,312,186 656,093 1,968,280 984,140 492,070 246,035 738,106 369,053 1,107,160 553,580 276,790 138,395

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