244,944

2⁴ × 3⁷ × 7

244,944 factors as 2^4 × 3^7 × 7. Its 80 positive divisors give a proper-divisor sum of 568,496, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^4 × 3^7 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 813,440

Proper Divisor Sum 568,496

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #244943 ← → #244957

Radix Representation

Decimal	244944
Binary	111011110011010000 (18 bits)
Octal	0o736320
Hexadecimal	0x3BCD0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1,008 1,134 1,296 1,458 1,512 1,701 1,944 2,187 2,268 2,916 3,024 3,402 3,888 4,374

Collatz Trajectory (88 steps to reach 1)

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

244,944 122,472 61,236 30,618 15,309 45,928 22,964 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260

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