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Atlas › Integer Profiles › Node 5,035,016

5,035,016

23 × 7 × 47 × 1913
Abundant Even Composite

5,035,016 factors as 2^3 × 7 × 47 × 1913. Its 32 positive divisors give a proper-divisor sum of 5,989,624, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 1913
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,024,640
Proper Divisor Sum 5,989,624
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5035003 ← → #5035021

Radix Representation

Decimal 5035016
Binary 10011001101010000001000 (23 bits)
Octal 0o23152010
Hexadecimal 0x4CD408

Divisor Catalog (32)

1 2 4 7 8 14 28 47 56 94 188 329 376 658 1,316 1,913 2,632 3,826 7,652 13,391 15,304 26,782 53,564 89,911 107,128 179,822 359,644 629,377 719,288 1,258,754 2,517,508 5,035,016

Collatz Trajectory (113 steps to reach 1)

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

5,035,016 2,517,508 1,258,754 629,377 1,888,132 944,066 472,033 1,416,100 708,050 354,025 1,062,076 531,038 265,519 796,558 398,279 1,194,838 597,419 1,792,258 896,129 2,688,388 1,344,194 672,097 2,016,292 1,008,146 504,073 1,512,220 756,110 378,055 1,134,166 567,083 1,701,250 850,625 2,551,876 1,275,938 637,969 1,913,908 956,954 478,477 1,435,432 717,716 358,858 179,429 538,288 269,144 134,572 67,286 33,643 100,930 50,465 151,396 75,698 37,849 113,548 56,774 28,387 85,162 42,581 127,744 63,872 31,936

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