λ
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3,533,936

24 × 7 × 139 × 227
Abundant Even Composite

3,533,936 factors as 2^4 × 7 × 139 × 227. Its 40 positive divisors give a proper-divisor sum of 4,382,224, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 139 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,916,160
Proper Divisor Sum 4,382,224
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3533921 ← → #3533939

Radix Representation

Decimal 3533936
Binary 1101011110110001110000 (22 bits)
Octal 0o15366160
Hexadecimal 0x35EC70

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 139 227 278 454 556 908 973 1,112 1,589 1,816 1,946 2,224 3,178 3,632 3,892 6,356 7,784 12,712 15,568 25,424 31,553 63,106 126,212 220,871 252,424 441,742 504,848 883,484 1,766,968 3,533,936

Collatz Trajectory (159 steps to reach 1)

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

3,533,936 1,766,968 883,484 441,742 220,871 662,614 331,307 993,922 496,961 1,490,884 745,442 372,721 1,118,164 559,082 279,541 838,624 419,312 209,656 104,828 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107

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