λ
Ratio Atlas

50,004,649

37 × 271 × 4987
Deficient Odd Composite

50,004,649 factors as 37 × 271 × 4987. Its 8 positive divisors give a proper-divisor sum of 1,551,319, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 37 × 271 × 4987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 51,555,968
Proper Divisor Sum 1,551,319
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #50004641 ← → #50004653

Radix Representation

Decimal 50004649
Binary 10111110110000001010101001 (26 bits)
Octal 0o276601251
Hexadecimal 0x2FB02A9

Divisor Catalog (8)

Collatz Trajectory (212 steps to reach 1)

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

50,004,649 150,013,948 75,006,974 37,503,487 112,510,462 56,255,231 168,765,694 84,382,847 253,148,542 126,574,271 379,722,814 189,861,407 569,584,222 284,792,111 854,376,334 427,188,167 1,281,564,502 640,782,251 1,922,346,754 961,173,377 2,883,520,132 1,441,760,066 720,880,033 2,162,640,100 1,081,320,050 540,660,025 1,621,980,076 810,990,038 405,495,019 1,216,485,058 608,242,529 1,824,727,588 912,363,794 456,181,897 1,368,545,692 684,272,846 342,136,423 1,026,409,270 513,204,635 1,539,613,906 769,806,953 2,309,420,860 1,154,710,430 577,355,215 1,732,065,646 866,032,823 2,598,098,470 1,299,049,235 3,897,147,706 1,948,573,853 5,845,721,560 2,922,860,780 1,461,430,390 730,715,195 2,192,145,586 1,096,072,793 3,288,218,380 1,644,109,190 822,054,595 2,466,163,786

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