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Atlas › Integer Profiles › Node 3,930,282

3,930,282

2 × 35 × 8087
Abundant Even Composite

3,930,282 factors as 2 × 3^5 × 8087. Its 24 positive divisors give a proper-divisor sum of 4,901,814, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 8087
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,832,096
Proper Divisor Sum 4,901,814
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3930271 ← → #3930293

Radix Representation

Decimal 3930282
Binary 1110111111100010101010 (22 bits)
Octal 0o16774252
Hexadecimal 0x3BF8AA

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 8,087 16,174 24,261 48,522 72,783 145,566 218,349 436,698 655,047 1,310,094 1,965,141 3,930,282

Collatz Trajectory (141 steps to reach 1)

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

3,930,282 1,965,141 5,895,424 2,947,712 1,473,856 736,928 368,464 184,232 92,116 46,058 23,029 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700

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