29,965,130

2 × 5 × 13 × 230501

29,965,130 factors as 2 × 5 × 13 × 230501. Its 16 positive divisors give a proper-divisor sum of 28,121,374, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 230501

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,086,504

Proper Divisor Sum 28,121,374

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #29965123 ← → #29965151

Radix Representation

Decimal	29965130
Binary	1110010010011101101001010 (25 bits)
Octal	0o162235512
Hexadecimal	0x1C93B4A

Divisor Catalog (16)

1 2 5 10 13 26 65 130 230,501 461,002 1,152,505 2,305,010 2,996,513 5,993,026 14,982,565 29,965,130

Collatz Trajectory (131 steps to reach 1)

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

29,965,130 14,982,565 44,947,696 22,473,848 11,236,924 5,618,462 2,809,231 8,427,694 4,213,847 12,641,542 6,320,771 18,962,314 9,481,157 28,443,472 14,221,736 7,110,868 3,555,434 1,777,717 5,333,152 2,666,576 1,333,288 666,644 333,322 166,661 499,984 249,992 124,996 62,498 31,249 93,748 46,874 23,437 70,312 35,156 17,578 8,789 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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