8,267,541

3 × 109 × 131 × 193

Starting at 8,267,541, the Collatz iteration reaches 1 after 106 steps. The first transition is 24802624; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 109 × 131 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,267,520

Proper Divisor Sum 2,999,979

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8267533 ← → #8267543

Radix Representation

Decimal	8267541
Binary	11111100010011100010101 (23 bits)
Octal	0o37423425
Hexadecimal	0x7E2715

Divisor Catalog (16)

1 3 109 131 193 327 393 579 14,279 21,037 25,283 42,837 63,111 75,849 2,755,847 8,267,541

Collatz Trajectory (106 steps to reach 1)

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

8,267,541 24,802,624 12,401,312 6,200,656 3,100,328 1,550,164 775,082 387,541 1,162,624 581,312 290,656 145,328 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486

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