9,724,016

2⁴ × 53 × 11467

Starting at 9,724,016, the Collatz iteration reaches 1 after 101 steps. The first transition is 4862008; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 53 × 11467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 19,197,432

Proper Divisor Sum 9,473,416

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9723997 ← → #9724021

Radix Representation

Decimal	9724016
Binary	100101000110000001110000 (24 bits)
Octal	0o45060160
Hexadecimal	0x946070

Divisor Catalog (20)

1 2 4 8 16 53 106 212 424 848 11,467 22,934 45,868 91,736 183,472 607,751 1,215,502 2,431,004 4,862,008 9,724,016

Collatz Trajectory (101 steps to reach 1)

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

9,724,016 4,862,008 2,431,004 1,215,502 607,751 1,823,254 911,627 2,734,882 1,367,441 4,102,324 2,051,162 1,025,581 3,076,744 1,538,372 769,186 384,593 1,153,780 576,890 288,445 865,336 432,668 216,334 108,167 324,502 162,251 486,754 243,377 730,132 365,066 182,533 547,600 273,800 136,900 68,450 34,225 102,676 51,338 25,669 77,008 38,504 19,252 9,626 4,813 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287

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