4,028,120

2³ × 5 × 100703

4,028,120 factors as 2^3 × 5 × 100703. Its 16 positive divisors give a proper-divisor sum of 5,035,240, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 100703

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,063,360

Proper Divisor Sum 5,035,240

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4028093 ← → #4028137

Radix Representation

Decimal	4028120
Binary	1111010111011011011000 (22 bits)
Octal	0o17273330
Hexadecimal	0x3D76D8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 100,703 201,406 402,812 503,515 805,624 1,007,030 2,014,060 4,028,120

Collatz Trajectory (141 steps to reach 1)

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

4,028,120 2,014,060 1,007,030 503,515 1,510,546 755,273 2,265,820 1,132,910 566,455 1,699,366 849,683 2,549,050 1,274,525 3,823,576 1,911,788 955,894 477,947 1,433,842 716,921 2,150,764 1,075,382 537,691 1,613,074 806,537 2,419,612 1,209,806 604,903 1,814,710 907,355 2,722,066 1,361,033 4,083,100 2,041,550 1,020,775 3,062,326 1,531,163 4,593,490 2,296,745 6,890,236 3,445,118 1,722,559 5,167,678 2,583,839 7,751,518 3,875,759 11,627,278 5,813,639 17,440,918 8,720,459 26,161,378 13,080,689 39,242,068 19,621,034 9,810,517 29,431,552 14,715,776 7,357,888 3,678,944 1,839,472 919,736

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