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5,459,600

24 × 52 × 13649
Abundant Even Composite

5,459,600 factors as 2^4 × 5^2 × 13649. Its 30 positive divisors give a proper-divisor sum of 7,658,050, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 13,117,650
Proper Divisor Sum 7,658,050
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5459599 ← → #5459621

Radix Representation

Decimal 5459600
Binary 10100110100111010010000 (23 bits)
Octal 0o24647220
Hexadecimal 0x534E90

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 13,649 27,298 54,596 68,245 109,192 136,490 218,384 272,980 341,225 545,960 682,450 1,091,920 1,364,900 2,729,800 5,459,600

Collatz Trajectory (95 steps to reach 1)

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

5,459,600 2,729,800 1,364,900 682,450 341,225 1,023,676 511,838 255,919 767,758 383,879 1,151,638 575,819 1,727,458 863,729 2,591,188 1,295,594 647,797 1,943,392 971,696 485,848 242,924 121,462 60,731 182,194 91,097 273,292 136,646 68,323 204,970 102,485 307,456 153,728 76,864 38,432 19,216 9,608 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971

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