λ
Sequence Observatory

49,801

49801
Deficient Odd Prime

Starting at 49,801, the Collatz iteration reaches 1 after 96 steps. The first transition is 149404; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 49801
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 49,802
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #49789 ← → #49807

Radix Representation

Decimal 49801
Binary 1100001010001001 (16 bits)
Octal 0o141211
Hexadecimal 0xC289

Divisor Catalog (2)

1 49,801

Collatz Trajectory (96 steps to reach 1)

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

49,801 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547 283,642 141,821 425,464 212,732 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349 1,363,048 681,524 340,762 170,381 511,144 255,572 127,786 63,893 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316

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