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5,865,760

25 × 5 × 61 × 601
Abundant Even Composite

5,865,760 factors as 2^5 × 5 × 61 × 601. Its 48 positive divisors give a proper-divisor sum of 8,242,712, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 61 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,108,472
Proper Divisor Sum 8,242,712
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5865757 ← → #5865773

Radix Representation

Decimal 5865760
Binary 10110011000000100100000 (23 bits)
Octal 0o26300440
Hexadecimal 0x598120

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 601 610 976 1,202 1,220 1,952 2,404 2,440 3,005 4,808 4,880 6,010 9,616 9,760 12,020 19,232 24,040 36,661 48,080 73,322 96,160 146,644 183,305 293,288 366,610 586,576 733,220 1,173,152 1,466,440 2,932,880 5,865,760

Collatz Trajectory (183 steps to reach 1)

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

5,865,760 2,932,880 1,466,440 733,220 366,610 183,305 549,916 274,958 137,479 412,438 206,219 618,658 309,329 927,988 463,994 231,997 695,992 347,996 173,998 86,999 260,998 130,499 391,498 195,749 587,248 293,624 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

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