7,355,728

2⁴ × 41 × 11213

Starting at 7,355,728, the Collatz iteration reaches 1 after 160 steps. The first transition is 3677864; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 41 × 11213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,600,628

Proper Divisor Sum 7,244,900

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7355723 ← → #7355749

Radix Representation

Decimal	7355728
Binary	11100000011110101010000 (23 bits)
Octal	0o34036520
Hexadecimal	0x703D50

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 11,213 22,426 44,852 89,704 179,408 459,733 919,466 1,838,932 3,677,864 7,355,728

Collatz Trajectory (160 steps to reach 1)

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

7,355,728 3,677,864 1,838,932 919,466 459,733 1,379,200 689,600 344,800 172,400 86,200 43,100 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786

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