λ
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Atlas › Integer Profiles › Node 5,962,044

5,962,044

22 × 3 × 11 × 312 × 47
Abundant Even Composite

5,962,044 factors as 2^2 × 3 × 11 × 31^2 × 47. Its 72 positive divisors give a proper-divisor sum of 10,053,060, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 31^2 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 16,015,104
Proper Divisor Sum 10,053,060
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5962043 ← → #5962063

Radix Representation

Decimal 5962044
Binary 10110101111100100111100 (23 bits)
Octal 0o26574474
Hexadecimal 0x5AF93C

Divisor Catalog (60 of 72)

1 2 3 4 6 11 12 22 31 33 44 47 62 66 93 94 124 132 141 186 188 282 341 372 517 564 682 961 1,023 1,034 1,364 1,457 1,551 1,922 2,046 2,068 2,883 2,914 3,102 3,844 4,092 4,371 5,766 5,828 6,204 8,742 10,571 11,532 16,027 17,484 21,142 31,713 32,054 42,284 45,167 48,081 63,426 64,108 90,334 96,162

Collatz Trajectory (121 steps to reach 1)

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

5,962,044 2,981,022 1,490,511 4,471,534 2,235,767 6,707,302 3,353,651 10,060,954 5,030,477 15,091,432 7,545,716 3,772,858 1,886,429 5,659,288 2,829,644 1,414,822 707,411 2,122,234 1,061,117 3,183,352 1,591,676 795,838 397,919 1,193,758 596,879 1,790,638 895,319 2,685,958 1,342,979 4,028,938 2,014,469 6,043,408 3,021,704 1,510,852 755,426 377,713 1,133,140 566,570 283,285 849,856 424,928 212,464 106,232 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817

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