29,816,724

2² × 3 × 7 × 354961

29,816,724 factors as 2^2 × 3 × 7 × 354961. Its 24 positive divisors give a proper-divisor sum of 49,694,764, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 354961

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 79,511,488

Proper Divisor Sum 49,694,764

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #29816641 ← → #29816729

Radix Representation

Decimal	29816724
Binary	1110001101111011110010100 (25 bits)
Octal	0o161573624
Hexadecimal	0x1C6F794

Divisor Catalog (24)

Collatz Trajectory (87 steps to reach 1)

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

29,816,724 14,908,362 7,454,181 22,362,544 11,181,272 5,590,636 2,795,318 1,397,659 4,192,978 2,096,489 6,289,468 3,144,734 1,572,367 4,717,102 2,358,551 7,075,654 3,537,827 10,613,482 5,306,741 15,920,224 7,960,112 3,980,056 1,990,028 995,014 497,507 1,492,522 746,261 2,238,784 1,119,392 559,696 279,848 139,924 69,962 34,981 104,944 52,472 26,236 13,118 6,559 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254

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