λ
Prime Ledger

2,509,874

2 × 163 × 7699
Deficient Even Composite

2,509,874 has the prime decomposition 2 × 163 × 7699. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 163 × 7699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,788,400
Proper Divisor Sum 1,278,526
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2509861 ← → #2509891

Radix Representation

Decimal 2509874
Binary 1001100100110000110010 (22 bits)
Octal 0o11446062
Hexadecimal 0x264C32

Divisor Catalog (8)

1 2 163 326 7,699 15,398 1,254,937 2,509,874

Collatz Trajectory (130 steps to reach 1)

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

2,509,874 1,254,937 3,764,812 1,882,406 941,203 2,823,610 1,411,805 4,235,416 2,117,708 1,058,854 529,427 1,588,282 794,141 2,382,424 1,191,212 595,606 297,803 893,410 446,705 1,340,116 670,058 335,029 1,005,088 502,544 251,272 125,636 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

More profiles

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