9,749,032

2³ × 53 × 22993

9,749,032 factors as 2^3 × 53 × 22993. Its 16 positive divisors give a proper-divisor sum of 8,876,108, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 53 × 22993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,625,140

Proper Divisor Sum 8,876,108

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9749029 ← → #9749059

Radix Representation

Decimal	9749032
Binary	100101001100001000101000 (24 bits)
Octal	0o45141050
Hexadecimal	0x94C228

Divisor Catalog (16)

1 2 4 8 53 106 212 424 22,993 45,986 91,972 183,944 1,218,629 2,437,258 4,874,516 9,749,032

Collatz Trajectory (114 steps to reach 1)

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

9,749,032 4,874,516 2,437,258 1,218,629 3,655,888 1,827,944 913,972 456,986 228,493 685,480 342,740 171,370 85,685 257,056 128,528 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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