12,762,724

2² × 13 × 245437

12,762,724 factors as 2^2 × 13 × 245437. Its 12 positive divisors give a proper-divisor sum of 11,290,200, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 245437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,052,924

Proper Divisor Sum 11,290,200

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #12762721 ← → #12762727

Radix Representation

Decimal	12762724
Binary	110000101011111001100100 (24 bits)
Octal	0o60537144
Hexadecimal	0xC2BE64

Divisor Catalog (12)

1 2 4 13 26 52 245,437 490,874 981,748 3,190,681 6,381,362 12,762,724

Collatz Trajectory (104 steps to reach 1)

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

12,762,724 6,381,362 3,190,681 9,572,044 4,786,022 2,393,011 7,179,034 3,589,517 10,768,552 5,384,276 2,692,138 1,346,069 4,038,208 2,019,104 1,009,552 504,776 252,388 126,194 63,097 189,292 94,646 47,323 141,970 70,985 212,956 106,478 53,239 159,718 79,859 239,578 119,789 359,368 179,684 89,842 44,921 134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493

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