577,541

17 × 53 × 641

577,541 factors as 17 × 53 × 641. Its 8 positive divisors give a proper-divisor sum of 46,483, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 17 × 53 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 624,024

Proper Divisor Sum 46,483

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #577537 ← → #577547

Radix Representation

Decimal	577541
Binary	10001101000000000101 (20 bits)
Octal	0o2150005
Hexadecimal	0x8D005

Divisor Catalog (8)

1 17 53 641 901 10,897 33,973 577,541

Collatz Trajectory (146 steps to reach 1)

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

577,541 1,732,624 866,312 433,156 216,578 108,289 324,868 162,434 81,217 243,652 121,826 60,913 182,740 91,370 45,685 137,056 68,528 34,264 17,132 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

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