λ
Prime Ledger

3,078,090

2 × 32 × 5 × 23 × 1487
Abundant Even Composite

3,078,090 has the prime decomposition 2 × 3^2 × 5 × 23 × 1487. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 23 × 1487
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,356,608
Proper Divisor Sum 5,278,518
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3078073 ← → #3078109

Radix Representation

Decimal 3078090
Binary 1011101111011111001010 (22 bits)
Octal 0o13573712
Hexadecimal 0x2EF7CA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1,035 1,487 2,070 2,974 4,461 7,435 8,922 13,383 14,870 22,305 26,766 34,201 44,610 66,915 68,402 102,603 133,830 171,005 205,206 307,809 342,010 513,015 615,618 1,026,030 1,539,045 3,078,090

Collatz Trajectory (50 steps to reach 1)

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

3,078,090 1,539,045 4,617,136 2,308,568 1,154,284 577,142 288,571 865,714 432,857 1,298,572 649,286 324,643 973,930 486,965 1,460,896 730,448 365,224 182,612 91,306 45,653 136,960 68,480 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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