29,242,002

2 × 3 × 251 × 19417

29,242,002 factors as 2 × 3 × 251 × 19417. Its 16 positive divisors give a proper-divisor sum of 29,478,030, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3 × 251 × 19417

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,720,032

Proper Divisor Sum 29,478,030

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #29242001 ← → #29242019

Radix Representation

Decimal	29242002
Binary	1101111100011001010010010 (25 bits)
Octal	0o157431222
Hexadecimal	0x1BE3292

Divisor Catalog (16)

1 2 3 6 251 502 753 1,506 19,417 38,834 58,251 116,502 4,873,667 9,747,334 14,621,001 29,242,002

Collatz Trajectory (149 steps to reach 1)

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

29,242,002 14,621,001 43,863,004 21,931,502 10,965,751 32,897,254 16,448,627 49,345,882 24,672,941 74,018,824 37,009,412 18,504,706 9,252,353 27,757,060 13,878,530 6,939,265 20,817,796 10,408,898 5,204,449 15,613,348 7,806,674 3,903,337 11,710,012 5,855,006 2,927,503 8,782,510 4,391,255 13,173,766 6,586,883 19,760,650 9,880,325 29,640,976 14,820,488 7,410,244 3,705,122 1,852,561 5,557,684 2,778,842 1,389,421 4,168,264 2,084,132 1,042,066 521,033 1,563,100 781,550 390,775 1,172,326 586,163 1,758,490 879,245 2,637,736 1,318,868 659,434 329,717 989,152 494,576 247,288 123,644 61,822 30,911

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