612,855

3² × 5 × 13619

For 612,855, the 12 positive divisors have a total of 1,062,360. Removing 612,855 leaves 449,505, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 13619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,062,360

Proper Divisor Sum 449,505

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #612853 ← → #612869

Radix Representation

Decimal	612855
Binary	10010101100111110111 (20 bits)
Octal	0o2254767
Hexadecimal	0x959F7

Divisor Catalog (12)

1 3 5 9 15 45 13,619 40,857 68,095 122,571 204,285 612,855

Collatz Trajectory (265 steps to reach 1)

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

612,855 1,838,566 919,283 2,757,850 1,378,925 4,136,776 2,068,388 1,034,194 517,097 1,551,292 775,646 387,823 1,163,470 581,735 1,745,206 872,603 2,617,810 1,308,905 3,926,716 1,963,358 981,679 2,945,038 1,472,519 4,417,558 2,208,779 6,626,338 3,313,169 9,939,508 4,969,754 2,484,877 7,454,632 3,727,316 1,863,658 931,829 2,795,488 1,397,744 698,872 349,436 174,718 87,359 262,078 131,039 393,118 196,559 589,678 294,839 884,518 442,259 1,326,778 663,389 1,990,168 995,084 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934

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