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5,374,560

25 × 3 × 5 × 11197
Abundant Even Composite

5,374,560 factors as 2^5 × 3 × 5 × 11197. Its 48 positive divisors give a proper-divisor sum of 11,556,816, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 11197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,931,376
Proper Divisor Sum 11,556,816
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5374559 ← → #5374573

Radix Representation

Decimal 5374560
Binary 10100100000001001100000 (23 bits)
Octal 0o24401140
Hexadecimal 0x520260

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11,197 22,394 33,591 44,788 55,985 67,182 89,576 111,970 134,364 167,955 179,152 223,940 268,728 335,910 358,304 447,880 537,456 671,820 895,760 1,074,912 1,343,640 1,791,520 2,687,280 5,374,560

Collatz Trajectory (126 steps to reach 1)

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

5,374,560 2,687,280 1,343,640 671,820 335,910 167,955 503,866 251,933 755,800 377,900 188,950 94,475 283,426 141,713 425,140 212,570 106,285 318,856 159,428 79,714 39,857 119,572 59,786 29,893 89,680 44,840 22,420 11,210 5,605 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 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690

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