9,964,609

31² × 10369

Starting at 9,964,609, the Collatz iteration reaches 1 after 238 steps. The first transition is 29893828; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 31^2 × 10369

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,297,410

Proper Divisor Sum 332,801

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9964597 ← → #9964613

Radix Representation

Decimal	9964609
Binary	100110000000110001000001 (24 bits)
Octal	0o46006101
Hexadecimal	0x980C41

Divisor Catalog (6)

1 31 961 10,369 321,439 9,964,609

Collatz Trajectory (238 steps to reach 1)

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

9,964,609 29,893,828 14,946,914 7,473,457 22,420,372 11,210,186 5,605,093 16,815,280 8,407,640 4,203,820 2,101,910 1,050,955 3,152,866 1,576,433 4,729,300 2,364,650 1,182,325 3,546,976 1,773,488 886,744 443,372 221,686 110,843 332,530 166,265 498,796 249,398 124,699 374,098 187,049 561,148 280,574 140,287 420,862 210,431 631,294 315,647 946,942 473,471 1,420,414 710,207 2,130,622 1,065,311 3,195,934 1,597,967 4,793,902 2,396,951 7,190,854 3,595,427 10,786,282 5,393,141 16,179,424 8,089,712 4,044,856 2,022,428 1,011,214 505,607 1,516,822 758,411 2,275,234

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