806,265

3² × 5 × 19 × 23 × 41

806,265 factors as 3^2 × 5 × 19 × 23 × 41. Its 48 positive divisors give a proper-divisor sum of 766,215, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,572,480

Proper Divisor Sum 766,215

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #806263 ← → #806269

Radix Representation

Decimal	806265
Binary	11000100110101111001 (20 bits)
Octal	0o3046571
Hexadecimal	0xC4D79

Divisor Catalog (48)

1 3 5 9 15 19 23 41 45 57 69 95 115 123 171 205 207 285 345 369 437 615 779 855 943 1,035 1,311 1,845 2,185 2,337 2,829 3,895 3,933 4,715 6,555 7,011 8,487 11,685 14,145 17,917 19,665 35,055 42,435 53,751 89,585 161,253 268,755 806,265

Collatz Trajectory (92 steps to reach 1)

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

806,265 2,418,796 1,209,398 604,699 1,814,098 907,049 2,721,148 1,360,574 680,287 2,040,862 1,020,431 3,061,294 1,530,647 4,591,942 2,295,971 6,887,914 3,443,957 10,331,872 5,165,936 2,582,968 1,291,484 645,742 322,871 968,614 484,307 1,452,922 726,461 2,179,384 1,089,692 544,846 272,423 817,270 408,635 1,225,906 612,953 1,838,860 919,430 459,715 1,379,146 689,573 2,068,720 1,034,360 517,180 258,590 129,295 387,886 193,943 581,830 290,915 872,746 436,373 1,309,120 654,560 327,280 163,640 81,820 40,910 20,455 61,366 30,683

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