λ
Modular Archive

9,225,615

3 × 5 × 7 × 41 × 2143
Deficient Odd Composite

The decimal integer 9,225,615 is 100011001100010110001111 in binary (24 bits), 43142617 in octal and 8CC58F in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 2143
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,289,216
Proper Divisor Sum 8,063,601
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9225613 ← → #9225649

Radix Representation

Decimal 9225615
Binary 100011001100010110001111 (24 bits)
Octal 0o43142617
Hexadecimal 0x8CC58F

Divisor Catalog (32)

1 3 5 7 15 21 35 41 105 123 205 287 615 861 1,435 2,143 4,305 6,429 10,715 15,001 32,145 45,003 75,005 87,863 225,015 263,589 439,315 615,041 1,317,945 1,845,123 3,075,205 9,225,615

Collatz Trajectory (181 steps to reach 1)

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

9,225,615 27,676,846 13,838,423 41,515,270 20,757,635 62,272,906 31,136,453 93,409,360 46,704,680 23,352,340 11,676,170 5,838,085 17,514,256 8,757,128 4,378,564 2,189,282 1,094,641 3,283,924 1,641,962 820,981 2,462,944 1,231,472 615,736 307,868 153,934 76,967 230,902 115,451 346,354 173,177 519,532 259,766 129,883 389,650 194,825 584,476 292,238 146,119 438,358 219,179 657,538 328,769 986,308 493,154 246,577 739,732 369,866 184,933 554,800 277,400 138,700 69,350 34,675 104,026 52,013 156,040 78,020 39,010 19,505 58,516

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