73,131,047

11 × 277 × 24001

73,131,047 factors as 11 × 277 × 24001. Its 8 positive divisors give a proper-divisor sum of 6,939,625, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 11 × 277 × 24001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 80,070,672

Proper Divisor Sum 6,939,625

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #73131041 ← → #73131061

Radix Representation

Decimal	73131047
Binary	100010110111110010000100111 (27 bits)
Octal	0o426762047
Hexadecimal	0x45BE427

Divisor Catalog (8)

1 11 277 3,047 24,001 264,011 6,648,277 73,131,047

Collatz Trajectory (197 steps to reach 1)

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

73,131,047 219,393,142 109,696,571 329,089,714 164,544,857 493,634,572 246,817,286 123,408,643 370,225,930 185,112,965 555,338,896 277,669,448 138,834,724 69,417,362 34,708,681 104,126,044 52,063,022 26,031,511 78,094,534 39,047,267 117,141,802 58,570,901 175,712,704 87,856,352 43,928,176 21,964,088 10,982,044 5,491,022 2,745,511 8,236,534 4,118,267 12,354,802 6,177,401 18,532,204 9,266,102 4,633,051 13,899,154 6,949,577 20,848,732 10,424,366 5,212,183 15,636,550 7,818,275 23,454,826 11,727,413 35,182,240 17,591,120 8,795,560 4,397,780 2,198,890 1,099,445 3,298,336 1,649,168 824,584 412,292 206,146 103,073 309,220 154,610 77,305

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