λ
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1,433,744

24 × 13 × 61 × 113
Abundant Even Composite

1,433,744 factors as 2^4 × 13 × 61 × 113. Its 40 positive divisors give a proper-divisor sum of 1,633,768, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 61 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,067,512
Proper Divisor Sum 1,633,768
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1433743 ← → #1433767

Radix Representation

Decimal 1433744
Binary 101011110000010010000 (21 bits)
Octal 0o5360220
Hexadecimal 0x15E090

Divisor Catalog (40)

1 2 4 8 13 16 26 52 61 104 113 122 208 226 244 452 488 793 904 976 1,469 1,586 1,808 2,938 3,172 5,876 6,344 6,893 11,752 12,688 13,786 23,504 27,572 55,144 89,609 110,288 179,218 358,436 716,872 1,433,744

Collatz Trajectory (75 steps to reach 1)

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

1,433,744 716,872 358,436 179,218 89,609 268,828 134,414 67,207 201,622 100,811 302,434 151,217 453,652 226,826 113,413 340,240 170,120 85,060 42,530 21,265 63,796 31,898 15,949 47,848 23,924 11,962 5,981 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 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 50 25 76 38 19 58 29 88 44

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