5,609,960

2³ × 5 × 140249

For 5,609,960, the 16 positive divisors have a total of 12,622,500. Removing 5,609,960 leaves 7,012,540, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 140249

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,622,500

Proper Divisor Sum 7,012,540

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5609957 ← → #5609993

Radix Representation

Decimal	5609960
Binary	10101011001100111101000 (23 bits)
Octal	0o25314750
Hexadecimal	0x5599E8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 140,249 280,498 560,996 701,245 1,121,992 1,402,490 2,804,980 5,609,960

Collatz Trajectory (170 steps to reach 1)

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

5,609,960 2,804,980 1,402,490 701,245 2,103,736 1,051,868 525,934 262,967 788,902 394,451 1,183,354 591,677 1,775,032 887,516 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920 157,960 78,980 39,490 19,745 59,236 29,618 14,809 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166

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