λ
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Atlas › Integer Profiles › Node 5,113,696

5,113,696

25 × 7 × 37 × 617
Abundant Even Composite

5,113,696 factors as 2^5 × 7 × 37 × 617. Its 48 positive divisors give a proper-divisor sum of 6,722,240, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 37 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,835,936
Proper Divisor Sum 6,722,240
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5113687 ← → #5113709

Radix Representation

Decimal 5113696
Binary 10011100000011101100000 (23 bits)
Octal 0o23403540
Hexadecimal 0x4E0760

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 617 1,036 1,184 1,234 2,072 2,468 4,144 4,319 4,936 8,288 8,638 9,872 17,276 19,744 22,829 34,552 45,658 69,104 91,316 138,208 159,803 182,632 319,606 365,264 639,212 730,528 1,278,424 2,556,848 5,113,696

Collatz Trajectory (144 steps to reach 1)

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

5,113,696 2,556,848 1,278,424 639,212 319,606 159,803 479,410 239,705 719,116 359,558 179,779 539,338 269,669 809,008 404,504 202,252 101,126 50,563 151,690 75,845 227,536 113,768 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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