80,955,725

5² × 31 × 104459

80,955,725 factors as 5^2 × 31 × 104459. Its 12 positive divisors give a proper-divisor sum of 22,668,595, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 5^2 × 31 × 104459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 103,624,320

Proper Divisor Sum 22,668,595

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #80955701 ← → #80955727

Radix Representation

Decimal	80955725
Binary	100110100110100100101001101 (27 bits)
Octal	0o464644515
Hexadecimal	0x4D3494D

Divisor Catalog (12)

1 5 25 31 155 775 104,459 522,295 2,611,475 3,238,229 16,191,145 80,955,725

Collatz Trajectory (254 steps to reach 1)

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

80,955,725 242,867,176 121,433,588 60,716,794 30,358,397 91,075,192 45,537,596 22,768,798 11,384,399 34,153,198 17,076,599 51,229,798 25,614,899 76,844,698 38,422,349 115,267,048 57,633,524 28,816,762 14,408,381 43,225,144 21,612,572 10,806,286 5,403,143 16,209,430 8,104,715 24,314,146 12,157,073 36,471,220 18,235,610 9,117,805 27,353,416 13,676,708 6,838,354 3,419,177 10,257,532 5,128,766 2,564,383 7,693,150 3,846,575 11,539,726 5,769,863 17,309,590 8,654,795 25,964,386 12,982,193 38,946,580 19,473,290 9,736,645 29,209,936 14,604,968 7,302,484 3,651,242 1,825,621 5,476,864 2,738,432 1,369,216 684,608 342,304 171,152 85,576

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