308,935

5 × 11 × 41 × 137

Starting at 308,935, the Collatz iteration reaches 1 after 171 steps. The first transition is 926806; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 41 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 417,312

Proper Divisor Sum 108,377

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #308933 ← → #308939

Radix Representation

Decimal	308935
Binary	1001011011011000111 (19 bits)
Octal	0o1133307
Hexadecimal	0x4B6C7

Divisor Catalog (16)

1 5 11 41 55 137 205 451 685 1,507 2,255 5,617 7,535 28,085 61,787 308,935

Collatz Trajectory (171 steps to reach 1)

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

308,935 926,806 463,403 1,390,210 695,105 2,085,316 1,042,658 521,329 1,563,988 781,994 390,997 1,172,992 586,496 293,248 146,624 73,312 36,656 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55

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