λ
Prime Ledger

5,580,615

3 × 5 × 29 × 12829
Deficient Odd Composite

5,580,615 has the prime decomposition 3 × 5 × 29 × 12829. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 12829
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,237,600
Proper Divisor Sum 3,656,985
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5580613 ← → #5580637

Radix Representation

Decimal 5580615
Binary 10101010010011101000111 (23 bits)
Octal 0o25223507
Hexadecimal 0x552747

Divisor Catalog (16)

1 3 5 15 29 87 145 435 12,829 38,487 64,145 192,435 372,041 1,116,123 1,860,205 5,580,615

Collatz Trajectory (157 steps to reach 1)

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

5,580,615 16,741,846 8,370,923 25,112,770 12,556,385 37,669,156 18,834,578 9,417,289 28,251,868 14,125,934 7,062,967 21,188,902 10,594,451 31,783,354 15,891,677 47,675,032 23,837,516 11,918,758 5,959,379 17,878,138 8,939,069 26,817,208 13,408,604 6,704,302 3,352,151 10,056,454 5,028,227 15,084,682 7,542,341 22,627,024 11,313,512 5,656,756 2,828,378 1,414,189 4,242,568 2,121,284 1,060,642 530,321 1,590,964 795,482 397,741 1,193,224 596,612 298,306 149,153 447,460 223,730 111,865 335,596 167,798 83,899 251,698 125,849 377,548 188,774 94,387 283,162 141,581 424,744 212,372

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