λ
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71,424,208

24 × 17 × 37 × 47 × 151
Abundant Even Composite

71,424,208 factors as 2^4 × 17 × 37 × 47 × 151. Its 80 positive divisors give a proper-divisor sum of 83,280,176, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 37 × 47 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 154,704,384
Proper Divisor Sum 83,280,176
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #71424203 ← → #71424233

Radix Representation

Decimal 71424208
Binary 100010000011101100011010000 (27 bits)
Octal 0o420354320
Hexadecimal 0x441D8D0

Divisor Catalog (60 of 80)

1 2 4 8 16 17 34 37 47 68 74 94 136 148 151 188 272 296 302 376 592 604 629 752 799 1,208 1,258 1,598 1,739 2,416 2,516 2,567 3,196 3,478 5,032 5,134 5,587 6,392 6,956 7,097 10,064 10,268 11,174 12,784 13,912 14,194 20,536 22,348 27,824 28,388 29,563 41,072 44,696 56,776 59,126 89,392 94,979 113,552 118,252 120,649

Collatz Trajectory (122 steps to reach 1)

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

71,424,208 35,712,104 17,856,052 8,928,026 4,464,013 13,392,040 6,696,020 3,348,010 1,674,005 5,022,016 2,511,008 1,255,504 627,752 313,876 156,938 78,469 235,408 117,704 58,852 29,426 14,713 44,140 22,070 11,035 33,106 16,553 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099

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