3,645,010

2 × 5 × 29 × 12569

3,645,010 factors as 2 × 5 × 29 × 12569. Its 16 positive divisors give a proper-divisor sum of 3,142,790, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 12569

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,787,800

Proper Divisor Sum 3,142,790

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3645007 ← → #3645013

Radix Representation

Decimal	3645010
Binary	1101111001111001010010 (22 bits)
Octal	0o15717122
Hexadecimal	0x379E52

Divisor Catalog (16)

1 2 5 10 29 58 145 290 12,569 25,138 62,845 125,690 364,501 729,002 1,822,505 3,645,010

Collatz Trajectory (84 steps to reach 1)

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

3,645,010 1,822,505 5,467,516 2,733,758 1,366,879 4,100,638 2,050,319 6,150,958 3,075,479 9,226,438 4,613,219 13,839,658 6,919,829 20,759,488 10,379,744 5,189,872 2,594,936 1,297,468 648,734 324,367 973,102 486,551 1,459,654 729,827 2,189,482 1,094,741 3,284,224 1,642,112 821,056 410,528 205,264 102,632 51,316 25,658 12,829 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643

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