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Atlas › Integer Profiles › Node 3,921,732

3,921,732

22 × 32 × 41 × 2657
Abundant Even Composite

3,921,732 factors as 2^2 × 3^2 × 41 × 2657. Its 36 positive divisors give a proper-divisor sum of 6,237,144, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 41 × 2657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,158,876
Proper Divisor Sum 6,237,144
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3921721 ← → #3921761

Radix Representation

Decimal 3921732
Binary 1110111101011101000100 (22 bits)
Octal 0o16753504
Hexadecimal 0x3BD744

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1,476 2,657 5,314 7,971 10,628 15,942 23,913 31,884 47,826 95,652 108,937 217,874 326,811 435,748 653,622 980,433 1,307,244 1,960,866 3,921,732

Collatz Trajectory (185 steps to reach 1)

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

3,921,732 1,960,866 980,433 2,941,300 1,470,650 735,325 2,205,976 1,102,988 551,494 275,747 827,242 413,621 1,240,864 620,432 310,216 155,108 77,554 38,777 116,332 58,166 29,083 87,250 43,625 130,876 65,438 32,719 98,158 49,079 147,238 73,619 220,858 110,429 331,288 165,644 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877

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