λ
Prime Ledger

1,584,005

5 × 316801
Deficient Odd Composite

1,584,005 has the prime decomposition 5 × 316801. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 316801
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,900,812
Proper Divisor Sum 316,807
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1584001 ← → #1584017

Radix Representation

Decimal 1584005
Binary 110000010101110000101 (21 bits)
Octal 0o6025605
Hexadecimal 0x182B85

Divisor Catalog (4)

1 5 316,801 1,584,005

Collatz Trajectory (70 steps to reach 1)

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

1,584,005 4,752,016 2,376,008 1,188,004 594,002 297,001 891,004 445,502 222,751 668,254 334,127 1,002,382 501,191 1,503,574 751,787 2,255,362 1,127,681 3,383,044 1,691,522 845,761 2,537,284 1,268,642 634,321 1,902,964 951,482 475,741 1,427,224 713,612 356,806 178,403 535,210 267,605 802,816 401,408 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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