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15,768,208

24 × 131 × 7523
Deficient Even Composite

15,768,208 factors as 2^4 × 131 × 7523. Its 20 positive divisors give a proper-divisor sum of 15,020,000, so this integer is deficient. The Collatz stopping time is 368 steps.

Prime Factor Structure

Factorization String 2^4 × 131 × 7523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 30,788,208
Proper Divisor Sum 15,020,000
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #15768191 ← → #15768209

Radix Representation

Decimal 15768208
Binary 111100001001101010010000 (24 bits)
Octal 0o74115220
Hexadecimal 0xF09A90

Divisor Catalog (20)

1 2 4 8 16 131 262 524 1,048 2,096 7,523 15,046 30,092 60,184 120,368 985,513 1,971,026 3,942,052 7,884,104 15,768,208

Collatz Trajectory (368 steps to reach 1)

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

15,768,208 7,884,104 3,942,052 1,971,026 985,513 2,956,540 1,478,270 739,135 2,217,406 1,108,703 3,326,110 1,663,055 4,989,166 2,494,583 7,483,750 3,741,875 11,225,626 5,612,813 16,838,440 8,419,220 4,209,610 2,104,805 6,314,416 3,157,208 1,578,604 789,302 394,651 1,183,954 591,977 1,775,932 887,966 443,983 1,331,950 665,975 1,997,926 998,963 2,996,890 1,498,445 4,495,336 2,247,668 1,123,834 561,917 1,685,752 842,876 421,438 210,719 632,158 316,079 948,238 474,119 1,422,358 711,179 2,133,538 1,066,769 3,200,308 1,600,154 800,077 2,400,232 1,200,116 600,058

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