9,930,208

2⁵ × 37 × 8387

Starting at 9,930,208, the Collatz iteration reaches 1 after 176 steps. The first transition is 4965104; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 37 × 8387

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,080,872

Proper Divisor Sum 10,150,664

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9930197 ← → #9930233

Radix Representation

Decimal	9930208
Binary	100101111000010111100000 (24 bits)
Octal	0o45702740
Hexadecimal	0x9785E0

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 8,387 16,774 33,548 67,096 134,192 268,384 310,319 620,638 1,241,276 2,482,552 4,965,104 9,930,208

Collatz Trajectory (176 steps to reach 1)

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

9,930,208 4,965,104 2,482,552 1,241,276 620,638 310,319 930,958 465,479 1,396,438 698,219 2,094,658 1,047,329 3,141,988 1,570,994 785,497 2,356,492 1,178,246 589,123 1,767,370 883,685 2,651,056 1,325,528 662,764 331,382 165,691 497,074 248,537 745,612 372,806 186,403 559,210 279,605 838,816 419,408 209,704 104,852 52,426 26,213 78,640 39,320 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292

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