λ
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15,768,808

23 × 11 × 29 × 37 × 167
Abundant Even Composite

15,768,808 factors as 2^3 × 11 × 29 × 37 × 167. Its 64 positive divisors give a proper-divisor sum of 18,704,792, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 37 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 34,473,600
Proper Divisor Sum 18,704,792
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #15768799 ← → #15768821

Radix Representation

Decimal 15768808
Binary 111100001001110011101000 (24 bits)
Octal 0o74116350
Hexadecimal 0xF09CE8

Divisor Catalog (60 of 64)

1 2 4 8 11 22 29 37 44 58 74 88 116 148 167 232 296 319 334 407 638 668 814 1,073 1,276 1,336 1,628 1,837 2,146 2,552 3,256 3,674 4,292 4,843 6,179 7,348 8,584 9,686 11,803 12,358 14,696 19,372 23,606 24,716 38,744 47,212 49,432 53,273 67,969 94,424 106,546 135,938 179,191 213,092 271,876 358,382 426,184 543,752 716,764 1,433,528

Collatz Trajectory (200 steps to reach 1)

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

15,768,808 7,884,404 3,942,202 1,971,101 5,913,304 2,956,652 1,478,326 739,163 2,217,490 1,108,745 3,326,236 1,663,118 831,559 2,494,678 1,247,339 3,742,018 1,871,009 5,613,028 2,806,514 1,403,257 4,209,772 2,104,886 1,052,443 3,157,330 1,578,665 4,735,996 2,367,998 1,183,999 3,551,998 1,775,999 5,327,998 2,663,999 7,991,998 3,995,999 11,987,998 5,993,999 17,981,998 8,990,999 26,972,998 13,486,499 40,459,498 20,229,749 60,689,248 30,344,624 15,172,312 7,586,156 3,793,078 1,896,539 5,689,618 2,844,809 8,534,428 4,267,214 2,133,607 6,400,822 3,200,411 9,601,234 4,800,617 14,401,852 7,200,926 3,600,463

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