13,257,572

2² × 47 × 97 × 727

13,257,572 factors as 2^2 × 47 × 97 × 727. Its 24 positive divisors give a proper-divisor sum of 10,714,012, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 97 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,971,584

Proper Divisor Sum 10,714,012

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #13257533 ← → #13257577

Radix Representation

Decimal	13257572
Binary	110010100100101101100100 (24 bits)
Octal	0o62445544
Hexadecimal	0xCA4B64

Divisor Catalog (24)

Collatz Trajectory (117 steps to reach 1)

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

13,257,572 6,628,786 3,314,393 9,943,180 4,971,590 2,485,795 7,457,386 3,728,693 11,186,080 5,593,040 2,796,520 1,398,260 699,130 349,565 1,048,696 524,348 262,174 131,087 393,262 196,631 589,894 294,947 884,842 442,421 1,327,264 663,632 331,816 165,908 82,954 41,477 124,432 62,216 31,108 15,554 7,777 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339

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