5,491,920

2⁴ × 3 × 5 × 7² × 467

5,491,920 has the prime decomposition 2^4 × 3 × 5 × 7^2 × 467. Its 5 distinct prime factors produce 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7^2 × 467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 19,846,944

Proper Divisor Sum 14,355,024

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5491907 ← → #5491939

Radix Representation

Decimal	5491920
Binary	10100111100110011010000 (23 bits)
Octal	0o24746320
Hexadecimal	0x53CCD0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 467 490 560 588 735 784 840 934 980 1,176 1,401 1,470 1,680 1,868 1,960 2,335

Collatz Trajectory (56 steps to reach 1)

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

5,491,920 2,745,960 1,372,980 686,490 343,245 1,029,736 514,868 257,434 128,717 386,152 193,076 96,538 48,269 144,808 72,404 36,202 18,101 54,304 27,152 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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