9,435,832

2³ × 7² × 24071

Starting at 9,435,832, the Collatz iteration reaches 1 after 194 steps. The first transition is 4717916; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 24071

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,581,560

Proper Divisor Sum 11,145,728

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9435827 ← → #9435847

Radix Representation

Decimal	9435832
Binary	100011111111101010111000 (24 bits)
Octal	0o43775270
Hexadecimal	0x8FFAB8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 24,071 48,142 96,284 168,497 192,568 336,994 673,988 1,179,479 1,347,976 2,358,958 4,717,916 9,435,832

Collatz Trajectory (194 steps to reach 1)

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

9,435,832 4,717,916 2,358,958 1,179,479 3,538,438 1,769,219 5,307,658 2,653,829 7,961,488 3,980,744 1,990,372 995,186 497,593 1,492,780 746,390 373,195 1,119,586 559,793 1,679,380 839,690 419,845 1,259,536 629,768 314,884 157,442 78,721 236,164 118,082 59,041 177,124 88,562 44,281 132,844 66,422 33,211 99,634 49,817 149,452 74,726 37,363 112,090 56,045 168,136 84,068 42,034 21,017 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904 19,952 9,976

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