λ
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Atlas › Integer Profiles › Node 47,436,620

47,436,620

22 × 5 × 7 × 11 × 30803
Abundant Even Composite

47,436,620 factors as 2^2 × 5 × 7 × 11 × 30803. Its 48 positive divisors give a proper-divisor sum of 76,765,108, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 30803
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 124,201,728
Proper Divisor Sum 76,765,108
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #47436619 ← → #47436629

Radix Representation

Decimal 47436620
Binary 10110100111101001101001100 (26 bits)
Octal 0o264751514
Hexadecimal 0x2D3D34C

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 30,803 61,606 123,212 154,015 215,621 308,030 338,833 431,242 616,060 677,666 862,484 1,078,105 1,355,332 1,694,165 2,156,210 2,371,831 3,388,330 4,312,420 4,743,662 6,776,660 9,487,324 11,859,155 23,718,310 47,436,620

Collatz Trajectory (147 steps to reach 1)

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

47,436,620 23,718,310 11,859,155 35,577,466 17,788,733 53,366,200 26,683,100 13,341,550 6,670,775 20,012,326 10,006,163 30,018,490 15,009,245 45,027,736 22,513,868 11,256,934 5,628,467 16,885,402 8,442,701 25,328,104 12,664,052 6,332,026 3,166,013 9,498,040 4,749,020 2,374,510 1,187,255 3,561,766 1,780,883 5,342,650 2,671,325 8,013,976 4,006,988 2,003,494 1,001,747 3,005,242 1,502,621 4,507,864 2,253,932 1,126,966 563,483 1,690,450 845,225 2,535,676 1,267,838 633,919 1,901,758 950,879 2,852,638 1,426,319 4,278,958 2,139,479 6,418,438 3,209,219 9,627,658 4,813,829 14,441,488 7,220,744 3,610,372 1,805,186

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