17,523,279

3² × 29 × 67139

17,523,279 factors as 3^2 × 29 × 67139. Its 12 positive divisors give a proper-divisor sum of 8,661,321, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 67139

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 26,184,600

Proper Divisor Sum 8,661,321

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17523269 ← → #17523281

Radix Representation

Decimal	17523279
Binary	1000010110110001001001111 (25 bits)
Octal	0o102661117
Hexadecimal	0x10B624F

Divisor Catalog (12)

1 3 9 29 87 261 67,139 201,417 604,251 1,947,031 5,841,093 17,523,279

Collatz Trajectory (151 steps to reach 1)

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

17,523,279 52,569,838 26,284,919 78,854,758 39,427,379 118,282,138 59,141,069 177,423,208 88,711,604 44,355,802 22,177,901 66,533,704 33,266,852 16,633,426 8,316,713 24,950,140 12,475,070 6,237,535 18,712,606 9,356,303 28,068,910 14,034,455 42,103,366 21,051,683 63,155,050 31,577,525 94,732,576 47,366,288 23,683,144 11,841,572 5,920,786 2,960,393 8,881,180 4,440,590 2,220,295 6,660,886 3,330,443 9,991,330 4,995,665 14,986,996 7,493,498 3,746,749 11,240,248 5,620,124 2,810,062 1,405,031 4,215,094 2,107,547 6,322,642 3,161,321 9,483,964 4,741,982 2,370,991 7,112,974 3,556,487 10,669,462 5,334,731 16,004,194 8,002,097 24,006,292

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