λ
Prime Ledger

1,582,941

3 × 503 × 1049
Deficient Odd Composite

1,582,941 has the prime decomposition 3 × 503 × 1049. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 503 × 1049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,116,800
Proper Divisor Sum 533,859
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1582937 ← → #1582949

Radix Representation

Decimal 1582941
Binary 110000010011101011101 (21 bits)
Octal 0o6023535
Hexadecimal 0x18275D

Divisor Catalog (8)

1 3 503 1,049 1,509 3,147 527,647 1,582,941

Collatz Trajectory (163 steps to reach 1)

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

1,582,941 4,748,824 2,374,412 1,187,206 593,603 1,780,810 890,405 2,671,216 1,335,608 667,804 333,902 166,951 500,854 250,427 751,282 375,641 1,126,924 563,462 281,731 845,194 422,597 1,267,792 633,896 316,948 158,474 79,237 237,712 118,856 59,428 29,714 14,857 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47

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