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3,985,288

23 × 19 × 157 × 167
Deficient Even Composite

3,985,288 factors as 2^3 × 19 × 157 × 167. Its 32 positive divisors give a proper-divisor sum of 3,977,912, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 157 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,963,200
Proper Divisor Sum 3,977,912
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3985277 ← → #3985297

Radix Representation

Decimal 3985288
Binary 1111001100111110001000 (22 bits)
Octal 0o17147610
Hexadecimal 0x3CCF88

Divisor Catalog (32)

1 2 4 8 19 38 76 152 157 167 314 334 628 668 1,256 1,336 2,983 3,173 5,966 6,346 11,932 12,692 23,864 25,384 26,219 52,438 104,876 209,752 498,161 996,322 1,992,644 3,985,288

Collatz Trajectory (92 steps to reach 1)

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

3,985,288 1,992,644 996,322 498,161 1,494,484 747,242 373,621 1,120,864 560,432 280,216 140,108 70,054 35,027 105,082 52,541 157,624 78,812 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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