λ
Zalai Atlas

5,202,081

32 × 67 × 8627
Deficient Odd Composite

5,202,081 has the prime decomposition 3^2 × 67 × 8627. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 67 × 8627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,627,152
Proper Divisor Sum 2,425,071
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5202077 ← → #5202091

Radix Representation

Decimal 5202081
Binary 10011110110000010100001 (23 bits)
Octal 0o23660241
Hexadecimal 0x4F60A1

Divisor Catalog (12)

1 3 9 67 201 603 8,627 25,881 77,643 578,009 1,734,027 5,202,081

Collatz Trajectory (188 steps to reach 1)

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

5,202,081 15,606,244 7,803,122 3,901,561 11,704,684 5,852,342 2,926,171 8,778,514 4,389,257 13,167,772 6,583,886 3,291,943 9,875,830 4,937,915 14,813,746 7,406,873 22,220,620 11,110,310 5,555,155 16,665,466 8,332,733 24,998,200 12,499,100 6,249,550 3,124,775 9,374,326 4,687,163 14,061,490 7,030,745 21,092,236 10,546,118 5,273,059 15,819,178 7,909,589 23,728,768 11,864,384 5,932,192 2,966,096 1,483,048 741,524 370,762 185,381 556,144 278,072 139,036 69,518 34,759 104,278 52,139 156,418 78,209 234,628 117,314 58,657 175,972 87,986 43,993 131,980 65,990 32,995

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