131,365

5 × 13 × 43 × 47

Starting at 131,365, the Collatz iteration reaches 1 after 100 steps. The first transition is 394096; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 43 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 177,408

Proper Divisor Sum 46,043

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #131363 ← → #131371

Radix Representation

Decimal	131365
Binary	100000000100100101 (18 bits)
Octal	0o400445
Hexadecimal	0x20125

Divisor Catalog (16)

1 5 13 43 47 65 215 235 559 611 2,021 2,795 3,055 10,105 26,273 131,365

Collatz Trajectory (100 steps to reach 1)

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

131,365 394,096 197,048 98,524 49,262 24,631 73,894 36,947 110,842 55,421 166,264 83,132 41,566 20,783 62,350 31,175 93,526 46,763 140,290 70,145 210,436 105,218 52,609 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456 18,728 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836

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