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4,896,476

22 × 13 × 17 × 29 × 191
Abundant Even Composite

4,896,476 factors as 2^2 × 13 × 17 × 29 × 191. Its 48 positive divisors give a proper-divisor sum of 5,264,164, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 29 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,160,640
Proper Divisor Sum 5,264,164
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4896461 ← → #4896487

Radix Representation

Decimal 4896476
Binary 10010101011011011011100 (23 bits)
Octal 0o22533334
Hexadecimal 0x4AB6DC

Divisor Catalog (48)

1 2 4 13 17 26 29 34 52 58 68 116 191 221 377 382 442 493 754 764 884 986 1,508 1,972 2,483 3,247 4,966 5,539 6,409 6,494 9,932 11,078 12,818 12,988 22,156 25,636 42,211 72,007 84,422 94,163 144,014 168,844 188,326 288,028 376,652 1,224,119 2,448,238 4,896,476

Collatz Trajectory (175 steps to reach 1)

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

4,896,476 2,448,238 1,224,119 3,672,358 1,836,179 5,508,538 2,754,269 8,262,808 4,131,404 2,065,702 1,032,851 3,098,554 1,549,277 4,647,832 2,323,916 1,161,958 580,979 1,742,938 871,469 2,614,408 1,307,204 653,602 326,801 980,404 490,202 245,101 735,304 367,652 183,826 91,913 275,740 137,870 68,935 206,806 103,403 310,210 155,105 465,316 232,658 116,329 348,988 174,494 87,247 261,742 130,871 392,614 196,307 588,922 294,461 883,384 441,692 220,846 110,423 331,270 165,635 496,906 248,453 745,360 372,680 186,340

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