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6,678,152

23 × 13 × 157 × 409
Abundant Even Composite

6,678,152 factors as 2^3 × 13 × 157 × 409. Its 32 positive divisors give a proper-divisor sum of 6,925,648, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 157 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,603,800
Proper Divisor Sum 6,925,648
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6678143 ← → #6678157

Radix Representation

Decimal 6678152
Binary 11001011110011010001000 (23 bits)
Octal 0o31363210
Hexadecimal 0x65E688

Divisor Catalog (32)

1 2 4 8 13 26 52 104 157 314 409 628 818 1,256 1,636 2,041 3,272 4,082 5,317 8,164 10,634 16,328 21,268 42,536 64,213 128,426 256,852 513,704 834,769 1,669,538 3,339,076 6,678,152

Collatz Trajectory (90 steps to reach 1)

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

6,678,152 3,339,076 1,669,538 834,769 2,504,308 1,252,154 626,077 1,878,232 939,116 469,558 234,779 704,338 352,169 1,056,508 528,254 264,127 792,382 396,191 1,188,574 594,287 1,782,862 891,431 2,674,294 1,337,147 4,011,442 2,005,721 6,017,164 3,008,582 1,504,291 4,512,874 2,256,437 6,769,312 3,384,656 1,692,328 846,164 423,082 211,541 634,624 317,312 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177

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