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7,549,828

22 × 11 × 13 × 67 × 197
Abundant Even Composite

7,549,828 factors as 2^2 × 11 × 13 × 67 × 197. Its 48 positive divisors give a proper-divisor sum of 8,283,836, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 67 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,833,664
Proper Divisor Sum 8,283,836
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7549799 ← → #7549847

Radix Representation

Decimal 7549828
Binary 11100110011001110000100 (23 bits)
Octal 0o34631604
Hexadecimal 0x733384

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 67 134 143 197 268 286 394 572 737 788 871 1,474 1,742 2,167 2,561 2,948 3,484 4,334 5,122 8,668 9,581 10,244 13,199 19,162 26,398 28,171 38,324 52,796 56,342 112,684 145,189 171,587 290,378 343,174 580,756 686,348 1,887,457 3,774,914 7,549,828

Collatz Trajectory (142 steps to reach 1)

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

7,549,828 3,774,914 1,887,457 5,662,372 2,831,186 1,415,593 4,246,780 2,123,390 1,061,695 3,185,086 1,592,543 4,777,630 2,388,815 7,166,446 3,583,223 10,749,670 5,374,835 16,124,506 8,062,253 24,186,760 12,093,380 6,046,690 3,023,345 9,070,036 4,535,018 2,267,509 6,802,528 3,401,264 1,700,632 850,316 425,158 212,579 637,738 318,869 956,608 478,304 239,152 119,576 59,788 29,894 14,947 44,842 22,421 67,264 33,632 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990

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