λ
Prime Ledger

1,616,944

24 × 7 × 14437
Abundant Even Composite

1,616,944 has the prime decomposition 2^4 × 7 × 14437. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 14437
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,580,624
Proper Divisor Sum 1,963,680
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1616939 ← → #1616947

Radix Representation

Decimal 1616944
Binary 110001010110000110000 (21 bits)
Octal 0o6126060
Hexadecimal 0x18AC30

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 14,437 28,874 57,748 101,059 115,496 202,118 230,992 404,236 808,472 1,616,944

Collatz Trajectory (101 steps to reach 1)

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

1,616,944 808,472 404,236 202,118 101,059 303,178 151,589 454,768 227,384 113,692 56,846 28,423 85,270 42,635 127,906 63,953 191,860 95,930 47,965 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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