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7,575,488

26 × 41 × 2887
Abundant Even Composite

7,575,488 factors as 2^6 × 41 × 2887. Its 28 positive divisors give a proper-divisor sum of 7,829,104, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^6 × 41 × 2887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 15,404,592
Proper Divisor Sum 7,829,104
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7575481 ← → #7575511

Radix Representation

Decimal 7575488
Binary 11100111001011111000000 (23 bits)
Octal 0o34713700
Hexadecimal 0x7397C0

Divisor Catalog (28)

1 2 4 8 16 32 41 64 82 164 328 656 1,312 2,624 2,887 5,774 11,548 23,096 46,192 92,384 118,367 184,768 236,734 473,468 946,936 1,893,872 3,787,744 7,575,488

Collatz Trajectory (67 steps to reach 1)

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

7,575,488 3,787,744 1,893,872 946,936 473,468 236,734 118,367 355,102 177,551 532,654 266,327 798,982 399,491 1,198,474 599,237 1,797,712 898,856 449,428 224,714 112,357 337,072 168,536 84,268 42,134 21,067 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40

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