29,309,428

2² × 17 × 431021

29,309,428 factors as 2^2 × 17 × 431021. Its 12 positive divisors give a proper-divisor sum of 24,999,344, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 431021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 54,308,772

Proper Divisor Sum 24,999,344

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #29309417 ← → #29309437

Radix Representation

Decimal	29309428
Binary	1101111110011100111110100 (25 bits)
Octal	0o157634764
Hexadecimal	0x1BF39F4

Divisor Catalog (12)

1 2 4 17 34 68 431,021 862,042 1,724,084 7,327,357 14,654,714 29,309,428

Collatz Trajectory (206 steps to reach 1)

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

29,309,428 14,654,714 7,327,357 21,982,072 10,991,036 5,495,518 2,747,759 8,243,278 4,121,639 12,364,918 6,182,459 18,547,378 9,273,689 27,821,068 13,910,534 6,955,267 20,865,802 10,432,901 31,298,704 15,649,352 7,824,676 3,912,338 1,956,169 5,868,508 2,934,254 1,467,127 4,401,382 2,200,691 6,602,074 3,301,037 9,903,112 4,951,556 2,475,778 1,237,889 3,713,668 1,856,834 928,417 2,785,252 1,392,626 696,313 2,088,940 1,044,470 522,235 1,566,706 783,353 2,350,060 1,175,030 587,515 1,762,546 881,273 2,643,820 1,321,910 660,955 1,982,866 991,433 2,974,300 1,487,150 743,575 2,230,726 1,115,363

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