λ
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5,907,902

2 × 7 × 11 × 132 × 227
Abundant Even Composite

5,907,902 factors as 2 × 7 × 11 × 13^2 × 227. Its 48 positive divisors give a proper-divisor sum of 6,108,610, so this integer is abundant. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13^2 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,016,512
Proper Divisor Sum 6,108,610
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5907883 ← → #5907907

Radix Representation

Decimal 5907902
Binary 10110100010010110111110 (23 bits)
Octal 0o26422676
Hexadecimal 0x5A25BE

Divisor Catalog (48)

1 2 7 11 13 14 22 26 77 91 143 154 169 182 227 286 338 454 1,001 1,183 1,589 1,859 2,002 2,366 2,497 2,951 3,178 3,718 4,994 5,902 13,013 17,479 20,657 26,026 32,461 34,958 38,363 41,314 64,922 76,726 227,227 268,541 421,993 454,454 537,082 843,986 2,953,951 5,907,902

Collatz Trajectory (258 steps to reach 1)

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

5,907,902 2,953,951 8,861,854 4,430,927 13,292,782 6,646,391 19,939,174 9,969,587 29,908,762 14,954,381 44,863,144 22,431,572 11,215,786 5,607,893 16,823,680 8,411,840 4,205,920 2,102,960 1,051,480 525,740 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798 110,899 332,698 166,349 499,048 249,524 124,762 62,381 187,144 93,572 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207 66,622 33,311 99,934 49,967 149,902 74,951 224,854

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