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3,964,096

26 × 23 × 2693
Abundant Even Composite

3,964,096 factors as 2^6 × 23 × 2693. Its 28 positive divisors give a proper-divisor sum of 4,247,216, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 2693
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 8,211,312
Proper Divisor Sum 4,247,216
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3964091 ← → #3964117

Radix Representation

Decimal 3964096
Binary 1111000111110011000000 (22 bits)
Octal 0o17076300
Hexadecimal 0x3C7CC0

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 1,472 2,693 5,386 10,772 21,544 43,088 61,939 86,176 123,878 172,352 247,756 495,512 991,024 1,982,048 3,964,096

Collatz Trajectory (66 steps to reach 1)

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

3,964,096 1,982,048 991,024 495,512 247,756 123,878 61,939 185,818 92,909 278,728 139,364 69,682 34,841 104,524 52,262 26,131 78,394 39,197 117,592 58,796 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 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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