784,605

3 × 5 × 19 × 2753

784,605 factors as 3 × 5 × 19 × 2753. Its 16 positive divisors give a proper-divisor sum of 537,315, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 2753

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,321,920

Proper Divisor Sum 537,315

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #784603 ← → #784627

Radix Representation

Decimal	784605
Binary	10111111100011011101 (20 bits)
Octal	0o2774335
Hexadecimal	0xBF8DD

Divisor Catalog (16)

1 3 5 15 19 57 95 285 2,753 8,259 13,765 41,295 52,307 156,921 261,535 784,605

Collatz Trajectory (224 steps to reach 1)

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

784,605 2,353,816 1,176,908 588,454 294,227 882,682 441,341 1,324,024 662,012 331,006 165,503 496,510 248,255 744,766 372,383 1,117,150 558,575 1,675,726 837,863 2,513,590 1,256,795 3,770,386 1,885,193 5,655,580 2,827,790 1,413,895 4,241,686 2,120,843 6,362,530 3,181,265 9,543,796 4,771,898 2,385,949 7,157,848 3,578,924 1,789,462 894,731 2,684,194 1,342,097 4,026,292 2,013,146 1,006,573 3,019,720 1,509,860 754,930 377,465 1,132,396 566,198 283,099 849,298 424,649 1,273,948 636,974 318,487 955,462 477,731 1,433,194 716,597 2,149,792 1,074,896

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