5,510,728

2³ × 41 × 53 × 317

Starting at 5,510,728, the Collatz iteration reaches 1 after 201 steps. The first transition is 2755364; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 41 × 53 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,818,360

Proper Divisor Sum 5,307,632

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5510719 ← → #5510753

Radix Representation

Decimal	5510728
Binary	10101000001011001001000 (23 bits)
Octal	0o25013110
Hexadecimal	0x541648

Divisor Catalog (32)

1 2 4 8 41 53 82 106 164 212 317 328 424 634 1,268 2,173 2,536 4,346 8,692 12,997 16,801 17,384 25,994 33,602 51,988 67,204 103,976 134,408 688,841 1,377,682 2,755,364 5,510,728

Collatz Trajectory (201 steps to reach 1)

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

5,510,728 2,755,364 1,377,682 688,841 2,066,524 1,033,262 516,631 1,549,894 774,947 2,324,842 1,162,421 3,487,264 1,743,632 871,816 435,908 217,954 108,977 326,932 163,466 81,733 245,200 122,600 61,300 30,650 15,325 45,976 22,988 11,494 5,747 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991

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