3,842,605

5 × 13 × 31 × 1907

3,842,605 factors as 5 × 13 × 31 × 1907. Its 16 positive divisors give a proper-divisor sum of 1,286,099, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 5 × 13 × 31 × 1907

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,128,704

Proper Divisor Sum 1,286,099

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3842603 ← → #3842627

Radix Representation

Decimal	3842605
Binary	1110101010001000101101 (22 bits)
Octal	0o16521055
Hexadecimal	0x3AA22D

Divisor Catalog (16)

1 5 13 31 65 155 403 1,907 2,015 9,535 24,791 59,117 123,955 295,585 768,521 3,842,605

Collatz Trajectory (141 steps to reach 1)

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

3,842,605 11,527,816 5,763,908 2,881,954 1,440,977 4,322,932 2,161,466 1,080,733 3,242,200 1,621,100 810,550 405,275 1,215,826 607,913 1,823,740 911,870 455,935 1,367,806 683,903 2,051,710 1,025,855 3,077,566 1,538,783 4,616,350 2,308,175 6,924,526 3,462,263 10,386,790 5,193,395 15,580,186 7,790,093 23,370,280 11,685,140 5,842,570 2,921,285 8,763,856 4,381,928 2,190,964 1,095,482 547,741 1,643,224 821,612 410,806 205,403 616,210 308,105 924,316 462,158 231,079 693,238 346,619 1,039,858 519,929 1,559,788 779,894 389,947 1,169,842 584,921 1,754,764 877,382

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