10,201,628

2² × 2550407

10,201,628 factors as 2^2 × 2550407. Its 6 positive divisors give a proper-divisor sum of 7,651,228, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 2550407

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 17,852,856

Proper Divisor Sum 7,651,228

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #10201589 ← → #10201643

Radix Representation

Decimal	10201628
Binary	100110111010101000011100 (24 bits)
Octal	0o46725034
Hexadecimal	0x9BAA1C

Divisor Catalog (6)

1 2 4 2,550,407 5,100,814 10,201,628

Collatz Trajectory (83 steps to reach 1)

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

10,201,628 5,100,814 2,550,407 7,651,222 3,825,611 11,476,834 5,738,417 17,215,252 8,607,626 4,303,813 12,911,440 6,455,720 3,227,860 1,613,930 806,965 2,420,896 1,210,448 605,224 302,612 151,306 75,653 226,960 113,480 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50

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