λ
Ratio Atlas

47,341,934

2 × 461 × 51347
Deficient Even Composite

47,341,934 factors as 2 × 461 × 51347. Its 8 positive divisors give a proper-divisor sum of 23,826,394, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2 × 461 × 51347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 71,168,328
Proper Divisor Sum 23,826,394
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #47341927 ← → #47341951

Radix Representation

Decimal 47341934
Binary 10110100100110000101101110 (26 bits)
Octal 0o264460556
Hexadecimal 0x2D2616E

Divisor Catalog (8)

Collatz Trajectory (284 steps to reach 1)

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

47,341,934 23,670,967 71,012,902 35,506,451 106,519,354 53,259,677 159,779,032 79,889,516 39,944,758 19,972,379 59,917,138 29,958,569 89,875,708 44,937,854 22,468,927 67,406,782 33,703,391 101,110,174 50,555,087 151,665,262 75,832,631 227,497,894 113,748,947 341,246,842 170,623,421 511,870,264 255,935,132 127,967,566 63,983,783 191,951,350 95,975,675 287,927,026 143,963,513 431,890,540 215,945,270 107,972,635 323,917,906 161,958,953 485,876,860 242,938,430 121,469,215 364,407,646 182,203,823 546,611,470 273,305,735 819,917,206 409,958,603 1,229,875,810 614,937,905 1,844,813,716 922,406,858 461,203,429 1,383,610,288 691,805,144 345,902,572 172,951,286 86,475,643 259,426,930 129,713,465 389,140,396

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