λ
Prime Ledger

5,411,304

23 × 32 × 17 × 4421
Abundant Even Composite

5,411,304 has the prime decomposition 2^3 × 3^2 × 17 × 4421. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 4421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,521,220
Proper Divisor Sum 10,109,916
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5411299 ← → #5411317

Radix Representation

Decimal 5411304
Binary 10100101001000111101000 (23 bits)
Octal 0o24510750
Hexadecimal 0x5291E8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 4,421 8,842 13,263 17,684 26,526 35,368 39,789 53,052 75,157 79,578 106,104 150,314 159,156 225,471 300,628 318,312 450,942 601,256 676,413 901,884 1,352,826 1,803,768 2,705,652 5,411,304

Collatz Trajectory (113 steps to reach 1)

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

5,411,304 2,705,652 1,352,826 676,413 2,029,240 1,014,620 507,310 253,655 760,966 380,483 1,141,450 570,725 1,712,176 856,088 428,044 214,022 107,011 321,034 160,517 481,552 240,776 120,388 60,194 30,097 90,292 45,146 22,573 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

More profiles

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