9,075,456

2⁸ × 3³ × 13 × 101

Starting at 9,075,456, the Collatz iteration reaches 1 after 119 steps. The first transition is 4537728; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 3^3 × 13 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 29,188,320

Proper Divisor Sum 20,112,864

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9075427 ← → #9075461

Radix Representation

Decimal	9075456
Binary	100010100111101100000000 (24 bits)
Octal	0o42475400
Hexadecimal	0x8A7B00

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 101 104 108 117 128 144 156 192 202 208 216 234 256 288 303 312 351 384 404 416 432 468 576 606 624 702 768 808 832 864 909 936 1,152 1,212 1,248 1,313

Collatz Trajectory (119 steps to reach 1)

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

9,075,456 4,537,728 2,268,864 1,134,432 567,216 283,608 141,804 70,902 35,451 106,354 53,177 159,532 79,766 39,883 119,650 59,825 179,476 89,738 44,869 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601

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