λ
Ratio Atlas

49,022,658

2 × 34 × 302609
Abundant Even Composite

49,022,658 factors as 2 × 3^4 × 302609. Its 20 positive divisors give a proper-divisor sum of 60,824,772, so this integer is abundant. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 302609
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 109,847,430
Proper Divisor Sum 60,824,772
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #49022657 ← → #49022707

Radix Representation

Decimal 49022658
Binary 10111011000000011011000010 (26 bits)
Octal 0o273003302
Hexadecimal 0x2EC06C2

Divisor Catalog (20)

Collatz Trajectory (292 steps to reach 1)

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

49,022,658 24,511,329 73,533,988 36,766,994 18,383,497 55,150,492 27,575,246 13,787,623 41,362,870 20,681,435 62,044,306 31,022,153 93,066,460 46,533,230 23,266,615 69,799,846 34,899,923 104,699,770 52,349,885 157,049,656 78,524,828 39,262,414 19,631,207 58,893,622 29,446,811 88,340,434 44,170,217 132,510,652 66,255,326 33,127,663 99,382,990 49,691,495 149,074,486 74,537,243 223,611,730 111,805,865 335,417,596 167,708,798 83,854,399 251,563,198 125,781,599 377,344,798 188,672,399 566,017,198 283,008,599 849,025,798 424,512,899 1,273,538,698 636,769,349 1,910,308,048 955,154,024 477,577,012 238,788,506 119,394,253 358,182,760 179,091,380 89,545,690 44,772,845 134,318,536 67,159,268

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