242,560

2⁷ × 5 × 379

For 242,560, the 32 positive divisors have a total of 581,400. Removing 242,560 leaves 338,840, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 5 × 379

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 581,400

Proper Divisor Sum 338,840

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #242551 ← → #242591

Radix Representation

Decimal	242560
Binary	111011001110000000 (18 bits)
Octal	0o731600
Hexadecimal	0x3B380

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 379 640 758 1,516 1,895 3,032 3,790 6,064 7,580 12,128 15,160 24,256 30,320 48,512 60,640 121,280 242,560

Collatz Trajectory (181 steps to reach 1)

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

242,560 121,280 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

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