33,411,460

2² × 5 × 17 × 98269

33,411,460 factors as 2^2 × 5 × 17 × 98269. Its 24 positive divisors give a proper-divisor sum of 40,880,660, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 98269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 74,292,120

Proper Divisor Sum 40,880,660

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #33411431 ← → #33411461

Radix Representation

Decimal	33411460
Binary	1111111011101000110000100 (25 bits)
Octal	0o177350604
Hexadecimal	0x1FDD184

Divisor Catalog (24)

Collatz Trajectory (188 steps to reach 1)

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

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 1,130,192 565,096 282,548 141,274 70,637 211,912

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