λ
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Atlas › Integer Profiles › Node 7,987,336

7,987,336

23 × 7 × 31 × 43 × 107
Abundant Even Composite

7,987,336 factors as 2^3 × 7 × 31 × 43 × 107. Its 64 positive divisors give a proper-divisor sum of 10,260,344, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 43 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,247,680
Proper Divisor Sum 10,260,344
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7987327 ← → #7987351

Radix Representation

Decimal 7987336
Binary 11110011110000010001000 (23 bits)
Octal 0o36360210
Hexadecimal 0x79E088

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 31 43 56 62 86 107 124 172 214 217 248 301 344 428 434 602 749 856 868 1,204 1,333 1,498 1,736 2,408 2,666 2,996 3,317 4,601 5,332 5,992 6,634 9,202 9,331 10,664 13,268 18,404 18,662 23,219 26,536 32,207 36,808 37,324 46,438 64,414 74,648 92,876 128,828 142,631 185,752 257,656 285,262 570,524 998,417

Collatz Trajectory (93 steps to reach 1)

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

7,987,336 3,993,668 1,996,834 998,417 2,995,252 1,497,626 748,813 2,246,440 1,123,220 561,610 280,805 842,416 421,208 210,604 105,302 52,651 157,954 78,977 236,932 118,466 59,233 177,700 88,850 44,425 133,276 66,638 33,319 99,958 49,979 149,938 74,969 224,908 112,454 56,227 168,682 84,341 253,024 126,512 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236

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