8,072,097

3 × 11 × 331 × 739

8,072,097 factors as 3 × 11 × 331 × 739. Its 16 positive divisors give a proper-divisor sum of 3,720,543, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 11 × 331 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,792,640

Proper Divisor Sum 3,720,543

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8072087 ← → #8072101

Radix Representation

Decimal	8072097
Binary	11110110010101110100001 (23 bits)
Octal	0o36625641
Hexadecimal	0x7B2BA1

Divisor Catalog (16)

1 3 11 33 331 739 993 2,217 3,641 8,129 10,923 24,387 244,609 733,827 2,690,699 8,072,097

Collatz Trajectory (142 steps to reach 1)

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

8,072,097 24,216,292 12,108,146 6,054,073 18,162,220 9,081,110 4,540,555 13,621,666 6,810,833 20,432,500 10,216,250 5,108,125 15,324,376 7,662,188 3,831,094 1,915,547 5,746,642 2,873,321 8,619,964 4,309,982 2,154,991 6,464,974 3,232,487 9,697,462 4,848,731 14,546,194 7,273,097 21,819,292 10,909,646 5,454,823 16,364,470 8,182,235 24,546,706 12,273,353 36,820,060 18,410,030 9,205,015 27,615,046 13,807,523 41,422,570 20,711,285 62,133,856 31,066,928 15,533,464 7,766,732 3,883,366 1,941,683 5,825,050 2,912,525 8,737,576 4,368,788 2,184,394 1,092,197 3,276,592 1,638,296 819,148 409,574 204,787 614,362 307,181

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