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6,606,740

22 × 5 × 7 × 41 × 1151
Abundant Even Composite

6,606,740 factors as 2^2 × 5 × 7 × 41 × 1151. Its 48 positive divisors give a proper-divisor sum of 9,650,284, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 41 × 1151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,257,024
Proper Divisor Sum 9,650,284
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6606739 ← → #6606749

Radix Representation

Decimal 6606740
Binary 11001001100111110010100 (23 bits)
Octal 0o31147624
Hexadecimal 0x64CF94

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1,148 1,151 1,435 2,302 2,870 4,604 5,740 5,755 8,057 11,510 16,114 23,020 32,228 40,285 47,191 80,570 94,382 161,140 188,764 235,955 330,337 471,910 660,674 943,820 1,321,348 1,651,685 3,303,370 6,606,740

Collatz Trajectory (85 steps to reach 1)

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

6,606,740 3,303,370 1,651,685 4,955,056 2,477,528 1,238,764 619,382 309,691 929,074 464,537 1,393,612 696,806 348,403 1,045,210 522,605 1,567,816 783,908 391,954 195,977 587,932 293,966 146,983 440,950 220,475 661,426 330,713 992,140 496,070 248,035 744,106 372,053 1,116,160 558,080 279,040 139,520 69,760 34,880 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196

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