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5,877,400

23 × 52 × 29387
Abundant Even Composite

5,877,400 factors as 2^3 × 5^2 × 29387. Its 24 positive divisors give a proper-divisor sum of 7,788,020, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 29387
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,665,420
Proper Divisor Sum 7,788,020
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5877371 ← → #5877407

Radix Representation

Decimal 5877400
Binary 10110011010111010011000 (23 bits)
Octal 0o26327230
Hexadecimal 0x59AE98

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 29,387 58,774 117,548 146,935 235,096 293,870 587,740 734,675 1,175,480 1,469,350 2,938,700 5,877,400

Collatz Trajectory (90 steps to reach 1)

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

5,877,400 2,938,700 1,469,350 734,675 2,204,026 1,102,013 3,306,040 1,653,020 826,510 413,255 1,239,766 619,883 1,859,650 929,825 2,789,476 1,394,738 697,369 2,092,108 1,046,054 523,027 1,569,082 784,541 2,353,624 1,176,812 588,406 294,203 882,610 441,305 1,323,916 661,958 330,979 992,938 496,469 1,489,408 744,704 372,352 186,176 93,088 46,544 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173

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