12,377,715

3 × 5 × 7 × 117883

12,377,715 factors as 3 × 5 × 7 × 117883. Its 16 positive divisors give a proper-divisor sum of 10,256,013, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 117883

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,633,728

Proper Divisor Sum 10,256,013

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #12377699 ← → #12377719

Radix Representation

Decimal	12377715
Binary	101111001101111001110011 (24 bits)
Octal	0o57157163
Hexadecimal	0xBCDE73

Divisor Catalog (16)

1 3 5 7 15 21 35 105 117,883 353,649 589,415 825,181 1,768,245 2,475,543 4,125,905 12,377,715

Collatz Trajectory (104 steps to reach 1)

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

12,377,715 37,133,146 18,566,573 55,699,720 27,849,860 13,924,930 6,962,465 20,887,396 10,443,698 5,221,849 15,665,548 7,832,774 3,916,387 11,749,162 5,874,581 17,623,744 8,811,872 4,405,936 2,202,968 1,101,484 550,742 275,371 826,114 413,057 1,239,172 619,586 309,793 929,380 464,690 232,345 697,036 348,518 174,259 522,778 261,389 784,168 392,084 196,042 98,021 294,064 147,032 73,516 36,758 18,379 55,138 27,569 82,708 41,354 20,677 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454 727 2,182

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