4,243,752

2³ × 3⁵ × 37 × 59

4,243,752 factors as 2^3 × 3^5 × 37 × 59. Its 96 positive divisors give a proper-divisor sum of 8,205,048, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 37 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 12,448,800

Proper Divisor Sum 8,205,048

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4243747 ← → #4243781

Radix Representation

Decimal	4243752
Binary	10000001100000100101000 (23 bits)
Octal	0o20140450
Hexadecimal	0x40C128

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 24 27 36 37 54 59 72 74 81 108 111 118 148 162 177 216 222 236 243 296 324 333 354 444 472 486 531 648 666 708 888 972 999 1,062 1,332 1,416 1,593 1,944 1,998 2,124 2,183 2,664 2,997 3,186 3,996 4,248 4,366 4,779 5,994 6,372 6,549

Collatz Trajectory (105 steps to reach 1)

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

4,243,752 2,121,876 1,060,938 530,469 1,591,408 795,704 397,852 198,926 99,463 298,390 149,195 447,586 223,793 671,380 335,690 167,845 503,536 251,768 125,884 62,942 31,471 94,414 47,207 141,622 70,811 212,434 106,217 318,652 159,326 79,663 238,990 119,495 358,486 179,243 537,730 268,865 806,596 403,298 201,649 604,948 302,474 151,237 453,712 226,856 113,428 56,714 28,357 85,072 42,536 21,268 10,634 5,317 15,952 7,976 3,988 1,994 997 2,992 1,496 748

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