9,691,685

5 × 31² × 2017

Starting at 9,691,685, the Collatz iteration reaches 1 after 207 steps. The first transition is 29075056; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 31^2 × 2017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,023,244

Proper Divisor Sum 2,331,559

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9691679 ← → #9691697

Radix Representation

Decimal	9691685
Binary	100100111110001000100101 (24 bits)
Octal	0o44761045
Hexadecimal	0x93E225

Divisor Catalog (12)

1 5 31 155 961 2,017 4,805 10,085 62,527 312,635 1,938,337 9,691,685

Collatz Trajectory (207 steps to reach 1)

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

9,691,685 29,075,056 14,537,528 7,268,764 3,634,382 1,817,191 5,451,574 2,725,787 8,177,362 4,088,681 12,266,044 6,133,022 3,066,511 9,199,534 4,599,767 13,799,302 6,899,651 20,698,954 10,349,477 31,048,432 15,524,216 7,762,108 3,881,054 1,940,527 5,821,582 2,910,791 8,732,374 4,366,187 13,098,562 6,549,281 19,647,844 9,823,922 4,911,961 14,735,884 7,367,942 3,683,971 11,051,914 5,525,957 16,577,872 8,288,936 4,144,468 2,072,234 1,036,117 3,108,352 1,554,176 777,088 388,544 194,272 97,136 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246

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