8,467,781

7 × 73² × 227

Starting at 8,467,781, the Collatz iteration reaches 1 after 155 steps. The first transition is 25403344; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 73^2 × 227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,855,072

Proper Divisor Sum 1,387,291

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8467777 ← → #8467793

Radix Representation

Decimal	8467781
Binary	100000010011010101000101 (24 bits)
Octal	0o40232505
Hexadecimal	0x813545

Divisor Catalog (12)

1 7 73 227 511 1,589 5,329 16,571 37,303 115,997 1,209,683 8,467,781

Collatz Trajectory (155 steps to reach 1)

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

8,467,781 25,403,344 12,701,672 6,350,836 3,175,418 1,587,709 4,763,128 2,381,564 1,190,782 595,391 1,786,174 893,087 2,679,262 1,339,631 4,018,894 2,009,447 6,028,342 3,014,171 9,042,514 4,521,257 13,563,772 6,781,886 3,390,943 10,172,830 5,086,415 15,259,246 7,629,623 22,888,870 11,444,435 34,333,306 17,166,653 51,499,960 25,749,980 12,874,990 6,437,495 19,312,486 9,656,243 28,968,730 14,484,365 43,453,096 21,726,548 10,863,274 5,431,637 16,294,912 8,147,456 4,073,728 2,036,864 1,018,432 509,216 254,608 127,304 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710

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