29,762,452

2² × 149 × 49937

29,762,452 factors as 2^2 × 149 × 49937. Its 12 positive divisors give a proper-divisor sum of 22,672,448, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 2^2 × 149 × 49937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 52,434,900

Proper Divisor Sum 22,672,448

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #29762423 ← → #29762459

Radix Representation

Decimal	29762452
Binary	1110001100010001110010100 (25 bits)
Octal	0o161421624
Hexadecimal	0x1C62394

Divisor Catalog (12)

1 2 4 149 298 596 49,937 99,874 199,748 7,440,613 14,881,226 29,762,452

Collatz Trajectory (281 steps to reach 1)

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

29,762,452 14,881,226 7,440,613 22,321,840 11,160,920 5,580,460 2,790,230 1,395,115 4,185,346 2,092,673 6,278,020 3,139,010 1,569,505 4,708,516 2,354,258 1,177,129 3,531,388 1,765,694 882,847 2,648,542 1,324,271 3,972,814 1,986,407 5,959,222 2,979,611 8,938,834 4,469,417 13,408,252 6,704,126 3,352,063 10,056,190 5,028,095 15,084,286 7,542,143 22,626,430 11,313,215 33,939,646 16,969,823 50,909,470 25,454,735 76,364,206 38,182,103 114,546,310 57,273,155 171,819,466 85,909,733 257,729,200 128,864,600 64,432,300 32,216,150 16,108,075 48,324,226 24,162,113 72,486,340 36,243,170 18,121,585 54,364,756 27,182,378 13,591,189 40,773,568

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