λ
Prime Ledger

1,384,896

26 × 3 × 7213
Abundant Even Composite

1,384,896 has the prime decomposition 2^6 × 3 × 7213. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 7213
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 3,664,712
Proper Divisor Sum 2,279,816
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1384879 ← → #1384909

Radix Representation

Decimal 1384896
Binary 101010010000111000000 (21 bits)
Octal 0o5220700
Hexadecimal 0x1521C0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 7,213 14,426 21,639 28,852 43,278 57,704 86,556 115,408 173,112 230,816 346,224 461,632 692,448 1,384,896

Collatz Trajectory (80 steps to reach 1)

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

1,384,896 692,448 346,224 173,112 86,556 43,278 21,639 64,918 32,459 97,378 48,689 146,068 73,034 36,517 109,552 54,776 27,388 13,694 6,847 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245

More profiles

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