8,436,365

5 × 7 × 41 × 5879

Starting at 8,436,365, the Collatz iteration reaches 1 after 106 steps. The first transition is 25309096; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 5879

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,854,080

Proper Divisor Sum 3,417,715

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8436353 ← → #8436367

Radix Representation

Decimal	8436365
Binary	100000001011101010001101 (24 bits)
Octal	0o40135215
Hexadecimal	0x80BA8D

Divisor Catalog (16)

1 5 7 35 41 205 287 1,435 5,879 29,395 41,153 205,765 241,039 1,205,195 1,687,273 8,436,365

Collatz Trajectory (106 steps to reach 1)

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

8,436,365 25,309,096 12,654,548 6,327,274 3,163,637 9,490,912 4,745,456 2,372,728 1,186,364 593,182 296,591 889,774 444,887 1,334,662 667,331 2,001,994 1,000,997 3,002,992 1,501,496 750,748 375,374 187,687 563,062 281,531 844,594 422,297 1,266,892 633,446 316,723 950,170 475,085 1,425,256 712,628 356,314 178,157 534,472 267,236 133,618 66,809 200,428 100,214 50,107 150,322 75,161 225,484 112,742 56,371 169,114 84,557 253,672 126,836 63,418 31,709 95,128 47,564 23,782 11,891 35,674 17,837 53,512

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