9,642,609

3² × 1071401

Starting at 9,642,609, the Collatz iteration reaches 1 after 93 steps. The first transition is 28927828; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 1071401

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,928,226

Proper Divisor Sum 4,285,617

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9642601 ← → #9642613

Radix Representation

Decimal	9642609
Binary	100100110010001001110001 (24 bits)
Octal	0o44621161
Hexadecimal	0x932271

Divisor Catalog (6)

1 3 9 1,071,401 3,214,203 9,642,609

Collatz Trajectory (93 steps to reach 1)

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

9,642,609 28,927,828 14,463,914 7,231,957 21,695,872 10,847,936 5,423,968 2,711,984 1,355,992 677,996 338,998 169,499 508,498 254,249 762,748 381,374 190,687 572,062 286,031 858,094 429,047 1,287,142 643,571 1,930,714 965,357 2,896,072 1,448,036 724,018 362,009 1,086,028 543,014 271,507 814,522 407,261 1,221,784 610,892 305,446 152,723 458,170 229,085 687,256 343,628 171,814 85,907 257,722 128,861 386,584 193,292 96,646 48,323 144,970 72,485 217,456 108,728 54,364 27,182 13,591 40,774 20,387 61,162

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