788,541

3 × 13 × 20219

788,541 factors as 3 × 13 × 20219. Its 8 positive divisors give a proper-divisor sum of 343,779, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 13 × 20219

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,132,320

Proper Divisor Sum 343,779

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #788537 ← → #788549

Radix Representation

Decimal	788541
Binary	11000000100000111101 (20 bits)
Octal	0o3004075
Hexadecimal	0xC083D

Divisor Catalog (8)

1 3 13 39 20,219 60,657 262,847 788,541

Collatz Trajectory (100 steps to reach 1)

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

788,541 2,365,624 1,182,812 591,406 295,703 887,110 443,555 1,330,666 665,333 1,996,000 998,000 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836

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