577,947

3 × 383 × 503

577,947 factors as 3 × 383 × 503. Its 8 positive divisors give a proper-divisor sum of 196,197, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 3 × 383 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 774,144

Proper Divisor Sum 196,197

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #577939 ← → #577957

Radix Representation

Decimal	577947
Binary	10001101000110011011 (20 bits)
Octal	0o2150633
Hexadecimal	0x8D19B

Divisor Catalog (8)

1 3 383 503 1,149 1,509 192,649 577,947

Collatz Trajectory (208 steps to reach 1)

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

577,947 1,733,842 866,921 2,600,764 1,300,382 650,191 1,950,574 975,287 2,925,862 1,462,931 4,388,794 2,194,397 6,583,192 3,291,596 1,645,798 822,899 2,468,698 1,234,349 3,703,048 1,851,524 925,762 462,881 1,388,644 694,322 347,161 1,041,484 520,742 260,371 781,114 390,557 1,171,672 585,836 292,918 146,459 439,378 219,689 659,068 329,534 164,767 494,302 247,151 741,454 370,727 1,112,182 556,091 1,668,274 834,137 2,502,412 1,251,206 625,603 1,876,810 938,405 2,815,216 1,407,608 703,804 351,902 175,951 527,854 263,927 791,782

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