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Atlas › Integer Profiles › Node 7,428,544

7,428,544

26 × 19 × 41 × 149
Abundant Even Composite

7,428,544 factors as 2^6 × 19 × 41 × 149. Its 56 positive divisors give a proper-divisor sum of 8,573,456, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 41 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 16,002,000
Proper Divisor Sum 8,573,456
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7428539 ← → #7428571

Radix Representation

Decimal 7428544
Binary 11100010101100111000000 (23 bits)
Octal 0o34254700
Hexadecimal 0x7159C0

Divisor Catalog (56)

1 2 4 8 16 19 32 38 41 64 76 82 149 152 164 298 304 328 596 608 656 779 1,192 1,216 1,312 1,558 2,384 2,624 2,831 3,116 4,768 5,662 6,109 6,232 9,536 11,324 12,218 12,464 22,648 24,436 24,928 45,296 48,872 49,856 90,592 97,744 116,071 181,184 195,488 232,142 390,976 464,284 928,568 1,857,136 3,714,272 7,428,544

Collatz Trajectory (173 steps to reach 1)

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

7,428,544 3,714,272 1,857,136 928,568 464,284 232,142 116,071 348,214 174,107 522,322 261,161 783,484 391,742 195,871 587,614 293,807 881,422 440,711 1,322,134 661,067 1,983,202 991,601 2,974,804 1,487,402 743,701 2,231,104 1,115,552 557,776 278,888 139,444 69,722 34,861 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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