8,136,217

17² × 47 × 599

Starting at 8,136,217, the Collatz iteration reaches 1 after 111 steps. The first transition is 24408652; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 17^2 × 47 × 599

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,841,600

Proper Divisor Sum 705,383

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8136203 ← → #8136221

Radix Representation

Decimal	8136217
Binary	11111000010011000011001 (23 bits)
Octal	0o37023031
Hexadecimal	0x7C2619

Divisor Catalog (12)

1 17 47 289 599 799 10,183 13,583 28,153 173,111 478,601 8,136,217

Collatz Trajectory (111 steps to reach 1)

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

8,136,217 24,408,652 12,204,326 6,102,163 18,306,490 9,153,245 27,459,736 13,729,868 6,864,934 3,432,467 10,297,402 5,148,701 15,446,104 7,723,052 3,861,526 1,930,763 5,792,290 2,896,145 8,688,436 4,344,218 2,172,109 6,516,328 3,258,164 1,629,082 814,541 2,443,624 1,221,812 610,906 305,453 916,360 458,180 229,090 114,545 343,636 171,818 85,909 257,728 128,864 64,432 32,216 16,108 8,054 4,027 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239

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