8,416,269

3² × 71 × 13171

Starting at 8,416,269, the Collatz iteration reaches 1 after 168 steps. The first transition is 25248808; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 71 × 13171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,328,992

Proper Divisor Sum 3,912,723

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8416267 ← → #8416273

Radix Representation

Decimal	8416269
Binary	100000000110110000001101 (24 bits)
Octal	0o40066015
Hexadecimal	0x806C0D

Divisor Catalog (12)

1 3 9 71 213 639 13,171 39,513 118,539 935,141 2,805,423 8,416,269

Collatz Trajectory (168 steps to reach 1)

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

8,416,269 25,248,808 12,624,404 6,312,202 3,156,101 9,468,304 4,734,152 2,367,076 1,183,538 591,769 1,775,308 887,654 443,827 1,331,482 665,741 1,997,224 998,612 499,306 249,653 748,960 374,480 187,240 93,620 46,810 23,405 70,216 35,108 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250

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