9,739,536

2⁴ × 3 × 202907

Starting at 9,739,536, the Collatz iteration reaches 1 after 207 steps. The first transition is 4869768; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 202907

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 25,160,592

Proper Divisor Sum 15,421,056

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9739519 ← → #9739559

Radix Representation

Decimal	9739536
Binary	100101001001110100010000 (24 bits)
Octal	0o45116420
Hexadecimal	0x949D10

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 202,907 405,814 608,721 811,628 1,217,442 1,623,256 2,434,884 3,246,512 4,869,768 9,739,536

Collatz Trajectory (207 steps to reach 1)

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

9,739,536 4,869,768 2,434,884 1,217,442 608,721 1,826,164 913,082 456,541 1,369,624 684,812 342,406 171,203 513,610 256,805 770,416 385,208 192,604 96,302 48,151 144,454 72,227 216,682 108,341 325,024 162,512 81,256 40,628 20,314 10,157 30,472 15,236 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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