9,615,320

2³ × 5 × 11 × 13 × 41²

Starting at 9,615,320, the Collatz iteration reaches 1 after 119 steps. The first transition is 4807660; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13 × 41^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 26,051,760

Proper Divisor Sum 16,436,440

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #9615271 ← → #9615323

Radix Representation

Decimal	9615320
Binary	100100101011011111011000 (24 bits)
Octal	0o44533730
Hexadecimal	0x92B7D8

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 13 20 22 26 40 41 44 52 55 65 82 88 104 110 130 143 164 205 220 260 286 328 410 440 451 520 533 572 715 820 902 1,066 1,144 1,430 1,640 1,681 1,804 2,132 2,255 2,665 2,860 3,362 3,608 4,264 4,510 5,330 5,720 5,863 6,724 8,405 9,020 10,660 11,726

Collatz Trajectory (119 steps to reach 1)

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

9,615,320 4,807,660 2,403,830 1,201,915 3,605,746 1,802,873 5,408,620 2,704,310 1,352,155 4,056,466 2,028,233 6,084,700 3,042,350 1,521,175 4,563,526 2,281,763 6,845,290 3,422,645 10,267,936 5,133,968 2,566,984 1,283,492 641,746 320,873 962,620 481,310 240,655 721,966 360,983 1,082,950 541,475 1,624,426 812,213 2,436,640 1,218,320 609,160 304,580 152,290 76,145 228,436 114,218 57,109 171,328 85,664 42,832 21,416 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283

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