29,461,238

2 × 17² × 50971

29,461,238 factors as 2 × 17^2 × 50971. Its 12 positive divisors give a proper-divisor sum of 17,483,974, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 50971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 46,945,212

Proper Divisor Sum 17,483,974

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #29461217 ← → #29461259

Radix Representation

Decimal	29461238
Binary	1110000011000101011110110 (25 bits)
Octal	0o160305366
Hexadecimal	0x1C18AF6

Divisor Catalog (12)

1 2 17 34 289 578 50,971 101,942 866,507 1,733,014 14,730,619 29,461,238

Collatz Trajectory (268 steps to reach 1)

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

29,461,238 14,730,619 44,191,858 22,095,929 66,287,788 33,143,894 16,571,947 49,715,842 24,857,921 74,573,764 37,286,882 18,643,441 55,930,324 27,965,162 13,982,581 41,947,744 20,973,872 10,486,936 5,243,468 2,621,734 1,310,867 3,932,602 1,966,301 5,898,904 2,949,452 1,474,726 737,363 2,212,090 1,106,045 3,318,136 1,659,068 829,534 414,767 1,244,302 622,151 1,866,454 933,227 2,799,682 1,399,841 4,199,524 2,099,762 1,049,881 3,149,644 1,574,822 787,411 2,362,234 1,181,117 3,543,352 1,771,676 885,838 442,919 1,328,758 664,379 1,993,138 996,569 2,989,708 1,494,854 747,427 2,242,282 1,121,141

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