8,525,280

2⁵ × 3 × 5 × 17761

Starting at 8,525,280, the Collatz iteration reaches 1 after 98 steps. The first transition is 4262640; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 17761

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,856,144

Proper Divisor Sum 18,330,864

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8525263 ← → #8525291

Radix Representation

Decimal	8525280
Binary	100000100001010111100000 (24 bits)
Octal	0o40412740
Hexadecimal	0x8215E0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 17,761 35,522 53,283 71,044 88,805 106,566 142,088 177,610 213,132 266,415 284,176 355,220 426,264 532,830 568,352 710,440 852,528 1,065,660 1,420,880 1,705,056 2,131,320 2,841,760 4,262,640 8,525,280

Collatz Trajectory (98 steps to reach 1)

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

8,525,280 4,262,640 2,131,320 1,065,660 532,830 266,415 799,246 399,623 1,198,870 599,435 1,798,306 899,153 2,697,460 1,348,730 674,365 2,023,096 1,011,548 505,774 252,887 758,662 379,331 1,137,994 568,997 1,706,992 853,496 426,748 213,374 106,687 320,062 160,031 480,094 240,047 720,142 360,071 1,080,214 540,107 1,620,322 810,161 2,430,484 1,215,242 607,621 1,822,864 911,432 455,716 227,858 113,929 341,788 170,894 85,447 256,342 128,171 384,514 192,257 576,772 288,386 144,193 432,580 216,290 108,145 324,436

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