560,367

3² × 19 × 29 × 113

560,367 factors as 3^2 × 19 × 29 × 113. Its 24 positive divisors give a proper-divisor sum of 328,833, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 29 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 889,200

Proper Divisor Sum 328,833

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #560353 ← → #560393

Radix Representation

Decimal	560367
Binary	10001000110011101111 (20 bits)
Octal	0o2106357
Hexadecimal	0x88CEF

Divisor Catalog (24)

Collatz Trajectory (252 steps to reach 1)

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

560,367 1,681,102 840,551 2,521,654 1,260,827 3,782,482 1,891,241 5,673,724 2,836,862 1,418,431 4,255,294 2,127,647 6,382,942 3,191,471 9,574,414 4,787,207 14,361,622 7,180,811 21,542,434 10,771,217 32,313,652 16,156,826 8,078,413 24,235,240 12,117,620 6,058,810 3,029,405 9,088,216 4,544,108 2,272,054 1,136,027 3,408,082 1,704,041 5,112,124 2,556,062 1,278,031 3,834,094 1,917,047 5,751,142 2,875,571 8,626,714 4,313,357 12,940,072 6,470,036 3,235,018 1,617,509 4,852,528 2,426,264 1,213,132 606,566 303,283 909,850 454,925 1,364,776 682,388 341,194 170,597 511,792 255,896 127,948

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