4,956,693

3 × 7³ × 4817

4,956,693 factors as 3 × 7^3 × 4817. Its 16 positive divisors give a proper-divisor sum of 2,752,107, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 3 × 7^3 × 4817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,708,800

Proper Divisor Sum 2,752,107

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4956691 ← → #4956703

Radix Representation

Decimal	4956693
Binary	10010111010001000010101 (23 bits)
Octal	0o22721025
Hexadecimal	0x4BA215

Divisor Catalog (16)

1 3 7 21 49 147 343 1,029 4,817 14,451 33,719 101,157 236,033 708,099 1,652,231 4,956,693

Collatz Trajectory (82 steps to reach 1)

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

4,956,693 14,870,080 7,435,040 3,717,520 1,858,760 929,380 464,690 232,345 697,036 348,518 174,259 522,778 261,389 784,168 392,084 196,042 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 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

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