4,494,528

2⁶ × 3⁵ × 17²

4,494,528 factors as 2^6 × 3^5 × 17^2. Its 126 positive divisors give a proper-divisor sum of 9,697,468, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^6 × 3^5 × 17^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 14,191,996

Proper Divisor Sum 9,697,468

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4494527 ← → #4494551

Radix Representation

Decimal	4494528
Binary	10001001001010011000000 (23 bits)
Octal	0o21112300
Hexadecimal	0x4494C0

Divisor Catalog (60 of 126)

1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 243 272 288 289 306 324 408 432 459 486 544 576 578 612 648 816 864 867 918 972 1,088 1,156 1,224 1,296 1,377 1,632 1,728

Collatz Trajectory (180 steps to reach 1)

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

4,494,528 2,247,264 1,123,632 561,816 280,908 140,454 70,227 210,682 105,341 316,024 158,012 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796

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