9,990,756

2² × 3³ × 92507

Starting at 9,990,756, the Collatz iteration reaches 1 after 163 steps. The first transition is 4995378; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 92507

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,902,240

Proper Divisor Sum 15,911,484

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9990737 ← → #9990767

Radix Representation

Decimal	9990756
Binary	100110000111001001100100 (24 bits)
Octal	0o46071144
Hexadecimal	0x987264

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 92,507 185,014 277,521 370,028 555,042 832,563 1,110,084 1,665,126 2,497,689 3,330,252 4,995,378 9,990,756

Collatz Trajectory (163 steps to reach 1)

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

9,990,756 4,995,378 2,497,689 7,493,068 3,746,534 1,873,267 5,619,802 2,809,901 8,429,704 4,214,852 2,107,426 1,053,713 3,161,140 1,580,570 790,285 2,370,856 1,185,428 592,714 296,357 889,072 444,536 222,268 111,134 55,567 166,702 83,351 250,054 125,027 375,082 187,541 562,624 281,312 140,656 70,328 35,164 17,582 8,791 26,374 13,187 39,562 19,781 59,344 29,672 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570

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