18,878,496

2⁵ × 3 × 7 × 13 × 2161

18,878,496 factors as 2^5 × 3 × 7 × 13 × 2161. Its 96 positive divisors give a proper-divisor sum of 42,141,792, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13 × 2161

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 61,020,288

Proper Divisor Sum 42,141,792

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #18878479 ← → #18878521

Radix Representation

Decimal	18878496
Binary	1001000000001000000100000 (25 bits)
Octal	0o110010040
Hexadecimal	0x1201020

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1,092 1,248 1,456 2,161 2,184 2,912 4,322 4,368 6,483 8,644 8,736 12,966 15,127 17,288 25,932 28,093 30,254 34,576 45,381

Collatz Trajectory (164 steps to reach 1)

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

18,878,496 9,439,248 4,719,624 2,359,812 1,179,906 589,953 1,769,860 884,930 442,465 1,327,396 663,698 331,849 995,548 497,774 248,887 746,662 373,331 1,119,994 559,997 1,679,992 839,996 419,998 209,999 629,998 314,999 944,998 472,499 1,417,498 708,749 2,126,248 1,063,124 531,562 265,781 797,344 398,672 199,336 99,668 49,834 24,917 74,752 37,376 18,688 9,344 4,672 2,336 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94

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