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9,729,615

3 × 5 × 7 × 19 × 4877
Deficient Odd Composite

9,729,615 factors as 3 × 5 × 7 × 19 × 4877. Its 32 positive divisors give a proper-divisor sum of 9,001,905, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 19 × 4877
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,731,520
Proper Divisor Sum 9,001,905
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9729613 ← → #9729619

Radix Representation

Decimal 9729615
Binary 100101000111011001001111 (24 bits)
Octal 0o45073117
Hexadecimal 0x94764F

Divisor Catalog (32)

1 3 5 7 15 19 21 35 57 95 105 133 285 399 665 1,995 4,877 14,631 24,385 34,139 73,155 92,663 102,417 170,695 277,989 463,315 512,085 648,641 1,389,945 1,945,923 3,243,205 9,729,615

Collatz Trajectory (199 steps to reach 1)

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

9,729,615 29,188,846 14,594,423 43,783,270 21,891,635 65,674,906 32,837,453 98,512,360 49,256,180 24,628,090 12,314,045 36,942,136 18,471,068 9,235,534 4,617,767 13,853,302 6,926,651 20,779,954 10,389,977 31,169,932 15,584,966 7,792,483 23,377,450 11,688,725 35,066,176 17,533,088 8,766,544 4,383,272 2,191,636 1,095,818 547,909 1,643,728 821,864 410,932 205,466 102,733 308,200 154,100 77,050 38,525 115,576 57,788 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715

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