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4,461,920

25 × 5 × 79 × 353
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 79 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,704,960
Proper Divisor Sum 6,243,040
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4461913 ← → #4461929

Radix Representation

Decimal 4461920
Binary 10001000001010101100000 (23 bits)
Octal 0o21012540
Hexadecimal 0x441560

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 353 395 632 706 790 1,264 1,412 1,580 1,765 2,528 2,824 3,160 3,530 5,648 6,320 7,060 11,296 12,640 14,120 27,887 28,240 55,774 56,480 111,548 139,435 223,096 278,870 446,192 557,740 892,384 1,115,480 2,230,960 4,461,920

Collatz Trajectory (180 steps to reach 1)

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

4,461,920 2,230,960 1,115,480 557,740 278,870 139,435 418,306 209,153 627,460 313,730 156,865 470,596 235,298 117,649 352,948 176,474 88,237 264,712 132,356 66,178 33,089 99,268 49,634 24,817 74,452 37,226 18,613 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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