λ
Ratio Atlas

3,148,638

2 × 3 × 17 × 30869
Abundant Even Composite

3,148,638 factors as 2 × 3 × 17 × 30869. Its 16 positive divisors give a proper-divisor sum of 3,519,282, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 30869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,667,920
Proper Divisor Sum 3,519,282
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3148633 ← → #3148657

Radix Representation

Decimal 3148638
Binary 1100000000101101011110 (22 bits)
Octal 0o14005536
Hexadecimal 0x300B5E

Divisor Catalog (16)

1 2 3 6 17 34 51 102 30,869 61,738 92,607 185,214 524,773 1,049,546 1,574,319 3,148,638

Collatz Trajectory (102 steps to reach 1)

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

3,148,638 1,574,319 4,722,958 2,361,479 7,084,438 3,542,219 10,626,658 5,313,329 15,939,988 7,969,994 3,984,997 11,954,992 5,977,496 2,988,748 1,494,374 747,187 2,241,562 1,120,781 3,362,344 1,681,172 840,586 420,293 1,260,880 630,440 315,220 157,610 78,805 236,416 118,208 59,104 29,552 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557

More profiles

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