7,995,040

2⁵ × 5 × 107 × 467

Starting at 7,995,040, the Collatz iteration reaches 1 after 93 steps. The first transition is 3997520; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 107 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,105,632

Proper Divisor Sum 11,110,592

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7995023 ← → #7995047

Radix Representation

Decimal	7995040
Binary	11110011111111010100000 (23 bits)
Octal	0o36377240
Hexadecimal	0x79FEA0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 467 535 856 934 1,070 1,712 1,868 2,140 2,335 3,424 3,736 4,280 4,670 7,472 8,560 9,340 14,944 17,120 18,680 37,360 49,969 74,720 99,938 199,876 249,845 399,752 499,690 799,504 999,380 1,599,008 1,998,760 3,997,520 7,995,040

Collatz Trajectory (93 steps to reach 1)

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

7,995,040 3,997,520 1,998,760 999,380 499,690 249,845 749,536 374,768 187,384 93,692 46,846 23,423 70,270 35,135 105,406 52,703 158,110 79,055 237,166 118,583 355,750 177,875 533,626 266,813 800,440 400,220 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236

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