9,155,748

2² × 3 × 7² × 23 × 677

Starting at 9,155,748, the Collatz iteration reaches 1 after 225 steps. The first transition is 4577874; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 23 × 677

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 25,970,112

Proper Divisor Sum 16,814,364

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9155747 ← → #9155749

Radix Representation

Decimal	9155748
Binary	100010111011010010100100 (24 bits)
Octal	0o42732244
Hexadecimal	0x8BB4A4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 677 966 1,127 1,354 1,932 2,031 2,254 2,708 3,381 4,062 4,508 4,739 6,762 8,124 9,478 13,524 14,217 15,571 18,956 28,434 31,142 33,173 46,713 56,868 62,284 66,346 93,426 99,519 108,997 132,692 186,852 199,038

Collatz Trajectory (225 steps to reach 1)

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

9,155,748 4,577,874 2,288,937 6,866,812 3,433,406 1,716,703 5,150,110 2,575,055 7,725,166 3,862,583 11,587,750 5,793,875 17,381,626 8,690,813 26,072,440 13,036,220 6,518,110 3,259,055 9,777,166 4,888,583 14,665,750 7,332,875 21,998,626 10,999,313 32,997,940 16,498,970 8,249,485 24,748,456 12,374,228 6,187,114 3,093,557 9,280,672 4,640,336 2,320,168 1,160,084 580,042 290,021 870,064 435,032 217,516 108,758 54,379 163,138 81,569 244,708 122,354 61,177 183,532 91,766 45,883 137,650 68,825 206,476 103,238 51,619 154,858 77,429 232,288 116,144 58,072

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