λ
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3,397,752

23 × 32 × 41 × 1151
Abundant Even Composite

3,397,752 factors as 2^3 × 3^2 × 41 × 1151. Its 48 positive divisors give a proper-divisor sum of 6,037,128, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 41 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,434,880
Proper Divisor Sum 6,037,128
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3397729 ← → #3397759

Radix Representation

Decimal 3397752
Binary 1100111101100001111000 (22 bits)
Octal 0o14754170
Hexadecimal 0x33D878

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1,151 1,476 2,302 2,952 3,453 4,604 6,906 9,208 10,359 13,812 20,718 27,624 41,436 47,191 82,872 94,382 141,573 188,764 283,146 377,528 424,719 566,292 849,438 1,132,584 1,698,876 3,397,752

Collatz Trajectory (84 steps to reach 1)

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

3,397,752 1,698,876 849,438 424,719 1,274,158 637,079 1,911,238 955,619 2,866,858 1,433,429 4,300,288 2,150,144 1,075,072 537,536 268,768 134,384 67,192 33,596 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100

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