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3,964,632

23 × 3 × 7 × 23599
Abundant Even Composite

3,964,632 factors as 2^3 × 3 × 7 × 23599. Its 32 positive divisors give a proper-divisor sum of 7,363,368, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 23599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,328,000
Proper Divisor Sum 7,363,368
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3964627 ← → #3964633

Radix Representation

Decimal 3964632
Binary 1111000111111011011000 (22 bits)
Octal 0o17077330
Hexadecimal 0x3C7ED8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 23,599 47,198 70,797 94,396 141,594 165,193 188,792 283,188 330,386 495,579 566,376 660,772 991,158 1,321,544 1,982,316 3,964,632

Collatz Trajectory (66 steps to reach 1)

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

3,964,632 1,982,316 991,158 495,579 1,486,738 743,369 2,230,108 1,115,054 557,527 1,672,582 836,291 2,508,874 1,254,437 3,763,312 1,881,656 940,828 470,414 235,207 705,622 352,811 1,058,434 529,217 1,587,652 793,826 396,913 1,190,740 595,370 297,685 893,056 446,528 223,264 111,632 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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