29,646,296

2³ × 827 × 4481

29,646,296 factors as 2^3 × 827 × 4481. Its 16 positive divisors give a proper-divisor sum of 26,020,144, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 827 × 4481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 55,666,440

Proper Divisor Sum 26,020,144

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #29646293 ← → #29646299

Radix Representation

Decimal	29646296
Binary	1110001000101110111011000 (25 bits)
Octal	0o161056730
Hexadecimal	0x1C45DD8

Divisor Catalog (16)

1 2 4 8 827 1,654 3,308 4,481 6,616 8,962 17,924 35,848 3,705,787 7,411,574 14,823,148 29,646,296

Collatz Trajectory (113 steps to reach 1)

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

29,646,296 14,823,148 7,411,574 3,705,787 11,117,362 5,558,681 16,676,044 8,338,022 4,169,011 12,507,034 6,253,517 18,760,552 9,380,276 4,690,138 2,345,069 7,035,208 3,517,604 1,758,802 879,401 2,638,204 1,319,102 659,551 1,978,654 989,327 2,967,982 1,483,991 4,451,974 2,225,987 6,677,962 3,338,981 10,016,944 5,008,472 2,504,236 1,252,118 626,059 1,878,178 939,089 2,817,268 1,408,634 704,317 2,112,952 1,056,476 528,238 264,119 792,358 396,179 1,188,538 594,269 1,782,808 891,404 445,702 222,851 668,554 334,277 1,002,832 501,416 250,708 125,354 62,677 188,032

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