λ
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47,373,680

24 × 5 × 743 × 797
Abundant Even Composite

47,373,680 factors as 2^4 × 5 × 743 × 797. Its 40 positive divisors give a proper-divisor sum of 63,056,752, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 743 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 110,430,432
Proper Divisor Sum 63,056,752
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #47373671 ← → #47373701

Radix Representation

Decimal 47373680
Binary 10110100101101110101110000 (26 bits)
Octal 0o264556560
Hexadecimal 0x2D2DD70

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 743 797 1,486 1,594 2,972 3,188 3,715 3,985 5,944 6,376 7,430 7,970 11,888 12,752 14,860 15,940 29,720 31,880 59,440 63,760 592,171 1,184,342 2,368,684 2,960,855 4,737,368 5,921,710 9,474,736 11,843,420 23,686,840 47,373,680

Collatz Trajectory (124 steps to reach 1)

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

47,373,680 23,686,840 11,843,420 5,921,710 2,960,855 8,882,566 4,441,283 13,323,850 6,661,925 19,985,776 9,992,888 4,996,444 2,498,222 1,249,111 3,747,334 1,873,667 5,621,002 2,810,501 8,431,504 4,215,752 2,107,876 1,053,938 526,969 1,580,908 790,454 395,227 1,185,682 592,841 1,778,524 889,262 444,631 1,333,894 666,947 2,000,842 1,000,421 3,001,264 1,500,632 750,316 375,158 187,579 562,738 281,369 844,108 422,054 211,027 633,082 316,541 949,624 474,812 237,406 118,703 356,110 178,055 534,166 267,083 801,250 400,625 1,201,876 600,938 300,469

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