3,758,136

2³ × 3 × 156589

3,758,136 factors as 2^3 × 3 × 156589. Its 16 positive divisors give a proper-divisor sum of 5,637,264, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 156589

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,395,400

Proper Divisor Sum 5,637,264

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3758107 ← → #3758137

Radix Representation

Decimal	3758136
Binary	1110010101100000111000 (22 bits)
Octal	0o16254070
Hexadecimal	0x395838

Divisor Catalog (16)

1 2 3 4 6 8 12 24 156,589 313,178 469,767 626,356 939,534 1,252,712 1,879,068 3,758,136

Collatz Trajectory (84 steps to reach 1)

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

3,758,136 1,879,068 939,534 469,767 1,409,302 704,651 2,113,954 1,056,977 3,170,932 1,585,466 792,733 2,378,200 1,189,100 594,550 297,275 891,826 445,913 1,337,740 668,870 334,435 1,003,306 501,653 1,504,960 752,480 376,240 188,120 94,060 47,030 23,515 70,546 35,273 105,820 52,910 26,455 79,366 39,683 119,050 59,525 178,576 89,288 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976

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