9,833,775

3 × 5² × 7 × 18731

Starting at 9,833,775, the Collatz iteration reaches 1 after 145 steps. The first transition is 29501326; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 18731

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,582,144

Proper Divisor Sum 8,748,369

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9833771 ← → #9833797

Radix Representation

Decimal	9833775
Binary	100101100000110100101111 (24 bits)
Octal	0o45406457
Hexadecimal	0x960D2F

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 18,731 56,193 93,655 131,117 280,965 393,351 468,275 655,585 1,404,825 1,966,755 3,277,925 9,833,775

Collatz Trajectory (145 steps to reach 1)

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

9,833,775 29,501,326 14,750,663 44,251,990 22,125,995 66,377,986 33,188,993 99,566,980 49,783,490 24,891,745 74,675,236 37,337,618 18,668,809 56,006,428 28,003,214 14,001,607 42,004,822 21,002,411 63,007,234 31,503,617 94,510,852 47,255,426 23,627,713 70,883,140 35,441,570 17,720,785 53,162,356 26,581,178 13,290,589 39,871,768 19,935,884 9,967,942 4,983,971 14,951,914 7,475,957 22,427,872 11,213,936 5,606,968 2,803,484 1,401,742 700,871 2,102,614 1,051,307 3,153,922 1,576,961 4,730,884 2,365,442 1,182,721 3,548,164 1,774,082 887,041 2,661,124 1,330,562 665,281 1,995,844 997,922 498,961 1,496,884 748,442 374,221

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