29,699,075

5² × 7 × 169709

29,699,075 factors as 5^2 × 7 × 169709. Its 12 positive divisors give a proper-divisor sum of 12,389,005, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 169709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 42,088,080

Proper Divisor Sum 12,389,005

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #29699069 ← → #29699099

Radix Representation

Decimal	29699075
Binary	1110001010010110000000011 (25 bits)
Octal	0o161226003
Hexadecimal	0x1C52C03

Divisor Catalog (12)

1 5 7 25 35 175 169,709 848,545 1,187,963 4,242,725 5,939,815 29,699,075

Collatz Trajectory (193 steps to reach 1)

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

29,699,075 89,097,226 44,548,613 133,645,840 66,822,920 33,411,460 16,705,730 8,352,865 25,058,596 12,529,298 6,264,649 18,793,948 9,396,974 4,698,487 14,095,462 7,047,731 21,143,194 10,571,597 31,714,792 15,857,396 7,928,698 3,964,349 11,893,048 5,946,524 2,973,262 1,486,631 4,459,894 2,229,947 6,689,842 3,344,921 10,034,764 5,017,382 2,508,691 7,526,074 3,763,037 11,289,112 5,644,556 2,822,278 1,411,139 4,233,418 2,116,709 6,350,128 3,175,064 1,587,532 793,766 396,883 1,190,650 595,325 1,785,976 892,988 446,494 223,247 669,742 334,871 1,004,614 502,307 1,506,922 753,461 2,260,384 1,130,192

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