λ
Sigma Notebook

9,460,925

52 × 17 × 113 × 197
Deficient Odd Composite

9,460,925 is odd and not a perfect square. Its factorization is 5^2 × 17 × 113 × 197 and its 24 divisors sum to 12,595,176.

Prime Factor Structure

Factorization String 5^2 × 17 × 113 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,595,176
Proper Divisor Sum 3,134,251
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9460909 ← → #9460933

Radix Representation

Decimal 9460925
Binary 100100000101110010111101 (24 bits)
Octal 0o44056275
Hexadecimal 0x905CBD

Divisor Catalog (24)

1 5 17 25 85 113 197 425 565 985 1,921 2,825 3,349 4,925 9,605 16,745 22,261 48,025 83,725 111,305 378,437 556,525 1,892,185 9,460,925

Collatz Trajectory (101 steps to reach 1)

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

9,460,925 28,382,776 14,191,388 7,095,694 3,547,847 10,643,542 5,321,771 15,965,314 7,982,657 23,947,972 11,973,986 5,986,993 17,960,980 8,980,490 4,490,245 13,470,736 6,735,368 3,367,684 1,683,842 841,921 2,525,764 1,262,882 631,441 1,894,324 947,162 473,581 1,420,744 710,372 355,186 177,593 532,780 266,390 133,195 399,586 199,793 599,380 299,690 149,845 449,536 224,768 112,384 56,192 28,096 14,048 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672

More profiles

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