λ
Sigma Notebook

8,401,925

52 × 7 × 41 × 1171
Deficient Odd Composite

8,401,925 is odd and not a perfect square. Its factorization is 5^2 × 7 × 41 × 1171 and its 24 divisors sum to 12,207,552.

Prime Factor Structure

Factorization String 5^2 × 7 × 41 × 1171
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,207,552
Proper Divisor Sum 3,805,627
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8401919 ← → #8401949

Radix Representation

Decimal 8401925
Binary 100000000011010000000101 (24 bits)
Octal 0o40032005
Hexadecimal 0x803405

Divisor Catalog (24)

1 5 7 25 35 41 175 205 287 1,025 1,171 1,435 5,855 7,175 8,197 29,275 40,985 48,011 204,925 240,055 336,077 1,200,275 1,680,385 8,401,925

Collatz Trajectory (243 steps to reach 1)

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

8,401,925 25,205,776 12,602,888 6,301,444 3,150,722 1,575,361 4,726,084 2,363,042 1,181,521 3,544,564 1,772,282 886,141 2,658,424 1,329,212 664,606 332,303 996,910 498,455 1,495,366 747,683 2,243,050 1,121,525 3,364,576 1,682,288 841,144 420,572 210,286 105,143 315,430 157,715 473,146 236,573 709,720 354,860 177,430 88,715 266,146 133,073 399,220 199,610 99,805 299,416 149,708 74,854 37,427 112,282 56,141 168,424 84,212 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296

More profiles

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