8,515,040

2⁵ × 5 × 19 × 2801

Starting at 8,515,040, the Collatz iteration reaches 1 after 243 steps. The first transition is 4257520; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 19 × 2801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,183,120

Proper Divisor Sum 12,668,080

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8514949 ← → #8515063

Radix Representation

Decimal	8515040
Binary	100000011110110111100000 (24 bits)
Octal	0o40366740
Hexadecimal	0x81EDE0

Divisor Catalog (48)

1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1,520 2,801 3,040 5,602 11,204 14,005 22,408 28,010 44,816 53,219 56,020 89,632 106,438 112,040 212,876 224,080 266,095 425,752 448,160 532,190 851,504 1,064,380 1,703,008 2,128,760 4,257,520 8,515,040

Collatz Trajectory (243 steps to reach 1)

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

8,515,040 4,257,520 2,128,760 1,064,380 532,190 266,095 798,286 399,143 1,197,430 598,715 1,796,146 898,073 2,694,220 1,347,110 673,555 2,020,666 1,010,333 3,031,000 1,515,500 757,750 378,875 1,136,626 568,313 1,704,940 852,470 426,235 1,278,706 639,353 1,918,060 959,030 479,515 1,438,546 719,273 2,157,820 1,078,910 539,455 1,618,366 809,183 2,427,550 1,213,775 3,641,326 1,820,663 5,461,990 2,730,995 8,192,986 4,096,493 12,289,480 6,144,740 3,072,370 1,536,185 4,608,556 2,304,278 1,152,139 3,456,418 1,728,209 5,184,628 2,592,314 1,296,157 3,888,472 1,944,236

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