λ
Sigma Notebook

9,961,475

52 × 398459
Deficient Odd Composite

9,961,475 is odd and not a perfect square. Its factorization is 5^2 × 398459 and its 6 divisors sum to 12,352,260.

Prime Factor Structure

Factorization String 5^2 × 398459
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,352,260
Proper Divisor Sum 2,390,785
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9961463 ← → #9961487

Radix Representation

Decimal 9961475
Binary 100110000000000000000011 (24 bits)
Octal 0o46000003
Hexadecimal 0x980003

Divisor Catalog (6)

1 5 25 398,459 1,992,295 9,961,475

Collatz Trajectory (101 steps to reach 1)

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

9,961,475 29,884,426 14,942,213 44,826,640 22,413,320 11,206,660 5,603,330 2,801,665 8,404,996 4,202,498 2,101,249 6,303,748 3,151,874 1,575,937 4,727,812 2,363,906 1,181,953 3,545,860 1,772,930 886,465 2,659,396 1,329,698 664,849 1,994,548 997,274 498,637 1,495,912 747,956 373,978 186,989 560,968 280,484 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061 63,184

More profiles

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