12,721,048

2³ × 1590131

12,721,048 factors as 2^3 × 1590131. Its 8 positive divisors give a proper-divisor sum of 11,130,932, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 1590131

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 23,851,980

Proper Divisor Sum 11,130,932

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #12721043 ← → #12721087

Radix Representation

Decimal	12721048
Binary	110000100001101110011000 (24 bits)
Octal	0o60415630
Hexadecimal	0xC21B98

Divisor Catalog (8)

1 2 4 8 1,590,131 3,180,262 6,360,524 12,721,048

Collatz Trajectory (104 steps to reach 1)

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

12,721,048 6,360,524 3,180,262 1,590,131 4,770,394 2,385,197 7,155,592 3,577,796 1,788,898 894,449 2,683,348 1,341,674 670,837 2,012,512 1,006,256 503,128 251,564 125,782 62,891 188,674 94,337 283,012 141,506 70,753 212,260 106,130 53,065 159,196 79,598 39,799 119,398 59,699 179,098 89,549 268,648 134,324 67,162 33,581 100,744 50,372 25,186 12,593 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243

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