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29,528,512

26 × 13 × 35491
Abundant Even Composite

29,528,512 factors as 2^6 × 13 × 35491. Its 28 positive divisors give a proper-divisor sum of 33,576,264, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 35491
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 63,104,776
Proper Divisor Sum 33,576,264
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29528491 ← → #29528531

Radix Representation

Decimal 29528512
Binary 1110000101001000111000000 (25 bits)
Octal 0o160510700
Hexadecimal 0x1C291C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 35,491 70,982 141,964 283,928 461,383 567,856 922,766 1,135,712 1,845,532 2,271,424 3,691,064 7,382,128 14,764,256 29,528,512

Collatz Trajectory (237 steps to reach 1)

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

29,528,512 14,764,256 7,382,128 3,691,064 1,845,532 922,766 461,383 1,384,150 692,075 2,076,226 1,038,113 3,114,340 1,557,170 778,585 2,335,756 1,167,878 583,939 1,751,818 875,909 2,627,728 1,313,864 656,932 328,466 164,233 492,700 246,350 123,175 369,526 184,763 554,290 277,145 831,436 415,718 207,859 623,578 311,789 935,368 467,684 233,842 116,921 350,764 175,382 87,691 263,074 131,537 394,612 197,306 98,653 295,960 147,980 73,990 36,995 110,986 55,493 166,480 83,240 41,620 20,810 10,405 31,216

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