782,245

5 × 101 × 1549

782,245 factors as 5 × 101 × 1549. Its 8 positive divisors give a proper-divisor sum of 166,355, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 5 × 101 × 1549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 948,600

Proper Divisor Sum 166,355

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #782231 ← → #782251

Radix Representation

Decimal	782245
Binary	10111110111110100101 (20 bits)
Octal	0o2767645
Hexadecimal	0xBEFA5

Divisor Catalog (8)

1 5 101 505 1,549 7,745 156,449 782,245

Collatz Trajectory (100 steps to reach 1)

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

782,245 2,346,736 1,173,368 586,684 293,342 146,671 440,014 220,007 660,022 330,011 990,034 495,017 1,485,052 742,526 371,263 1,113,790 556,895 1,670,686 835,343 2,506,030 1,253,015 3,759,046 1,879,523 5,638,570 2,819,285 8,457,856 4,228,928 2,114,464 1,057,232 528,616 264,308 132,154 66,077 198,232 99,116 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963

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