λ
Prime Ledger

5,476,830

2 × 3 × 5 × 182561
Abundant Even Composite

5,476,830 has the prime decomposition 2 × 3 × 5 × 182561. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 182561
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,144,464
Proper Divisor Sum 7,667,634
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5476817 ← → #5476831

Radix Representation

Decimal 5476830
Binary 10100111001000111011110 (23 bits)
Octal 0o24710736
Hexadecimal 0x5391DE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 182,561 365,122 547,683 912,805 1,095,366 1,825,610 2,738,415 5,476,830

Collatz Trajectory (338 steps to reach 1)

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

5,476,830 2,738,415 8,215,246 4,107,623 12,322,870 6,161,435 18,484,306 9,242,153 27,726,460 13,863,230 6,931,615 20,794,846 10,397,423 31,192,270 15,596,135 46,788,406 23,394,203 70,182,610 35,091,305 105,273,916 52,636,958 26,318,479 78,955,438 39,477,719 118,433,158 59,216,579 177,649,738 88,824,869 266,474,608 133,237,304 66,618,652 33,309,326 16,654,663 49,963,990 24,981,995 74,945,986 37,472,993 112,418,980 56,209,490 28,104,745 84,314,236 42,157,118 21,078,559 63,235,678 31,617,839 94,853,518 47,426,759 142,280,278 71,140,139 213,420,418 106,710,209 320,130,628 160,065,314 80,032,657 240,097,972 120,048,986 60,024,493 180,073,480 90,036,740 45,018,370

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