29,640,909

3 × 41 × 137 × 1759

29,640,909 factors as 3 × 41 × 137 × 1759. Its 16 positive divisors give a proper-divisor sum of 11,162,931, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 41 × 137 × 1759

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 40,803,840

Proper Divisor Sum 11,162,931

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #29640907 ← → #29640913

Radix Representation

Decimal	29640909
Binary	1110001000100100011001101 (25 bits)
Octal	0o161044315
Hexadecimal	0x1C448CD

Divisor Catalog (16)

1 3 41 123 137 411 1,759 5,277 5,617 16,851 72,119 216,357 240,983 722,949 9,880,303 29,640,909

Collatz Trajectory (118 steps to reach 1)

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

29,640,909 88,922,728 44,461,364 22,230,682 11,115,341 33,346,024 16,673,012 8,336,506 4,168,253 12,504,760 6,252,380 3,126,190 1,563,095 4,689,286 2,344,643 7,033,930 3,516,965 10,550,896 5,275,448 2,637,724 1,318,862 659,431 1,978,294 989,147 2,967,442 1,483,721 4,451,164 2,225,582 1,112,791 3,338,374 1,669,187 5,007,562 2,503,781 7,511,344 3,755,672 1,877,836 938,918 469,459 1,408,378 704,189 2,112,568 1,056,284 528,142 264,071 792,214 396,107 1,188,322 594,161 1,782,484 891,242 445,621 1,336,864 668,432 334,216 167,108 83,554 41,777 125,332 62,666 31,333

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