29,755,024

2⁴ × 13 × 143053

29,755,024 factors as 2^4 × 13 × 143053. Its 20 positive divisors give a proper-divisor sum of 32,330,412, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 143053

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 62,085,436

Proper Divisor Sum 32,330,412

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #29755021 ← → #29755027

Radix Representation

Decimal	29755024
Binary	1110001100000011010010000 (25 bits)
Octal	0o161403220
Hexadecimal	0x1C60690

Divisor Catalog (20)

Collatz Trajectory (144 steps to reach 1)

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

29,755,024 14,877,512 7,438,756 3,719,378 1,859,689 5,579,068 2,789,534 1,394,767 4,184,302 2,092,151 6,276,454 3,138,227 9,414,682 4,707,341 14,122,024 7,061,012 3,530,506 1,765,253 5,295,760 2,647,880 1,323,940 661,970 330,985 992,956 496,478 248,239 744,718 372,359 1,117,078 558,539 1,675,618 837,809 2,513,428 1,256,714 628,357 1,885,072 942,536 471,268 235,634 117,817 353,452 176,726 88,363 265,090 132,545 397,636 198,818 99,409 298,228 149,114 74,557 223,672 111,836 55,918 27,959 83,878 41,939 125,818 62,909 188,728

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