λ
Prime Ledger

1,585,378

2 × 792689
Deficient Even Composite

1,585,378 has the prime decomposition 2 × 792689. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 792689
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,378,070
Proper Divisor Sum 792,692
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1585373 ← → #1585387

Radix Representation

Decimal 1585378
Binary 110000011000011100010 (21 bits)
Octal 0o6030342
Hexadecimal 0x1830E2

Divisor Catalog (4)

1 2 792,689 1,585,378

Collatz Trajectory (101 steps to reach 1)

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

1,585,378 792,689 2,378,068 1,189,034 594,517 1,783,552 891,776 445,888 222,944 111,472 55,736 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064

More profiles

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