λ
Ratio Atlas

47,557,737

32 × 5284193
Deficient Odd Composite

47,557,737 factors as 3^2 × 5284193. Its 6 positive divisors give a proper-divisor sum of 21,136,785, so this integer is deficient. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 3^2 × 5284193
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 68,694,522
Proper Divisor Sum 21,136,785
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #47557733 ← → #47557753

Radix Representation

Decimal 47557737
Binary 10110101011010110001101001 (26 bits)
Octal 0o265326151
Hexadecimal 0x2D5AC69

Divisor Catalog (6)

Collatz Trajectory (292 steps to reach 1)

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

47,557,737 142,673,212 71,336,606 35,668,303 107,004,910 53,502,455 160,507,366 80,253,683 240,761,050 120,380,525 361,141,576 180,570,788 90,285,394 45,142,697 135,428,092 67,714,046 33,857,023 101,571,070 50,785,535 152,356,606 76,178,303 228,534,910 114,267,455 342,802,366 171,401,183 514,203,550 257,101,775 771,305,326 385,652,663 1,156,957,990 578,478,995 1,735,436,986 867,718,493 2,603,155,480 1,301,577,740 650,788,870 325,394,435 976,183,306 488,091,653 1,464,274,960 732,137,480 366,068,740 183,034,370 91,517,185 274,551,556 137,275,778 68,637,889 205,913,668 102,956,834 51,478,417 154,435,252 77,217,626 38,608,813 115,826,440 57,913,220 28,956,610 14,478,305 43,434,916 21,717,458 10,858,729

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