λ
Harmonic Matrix

1,581,788

22 × 13 × 19 × 1601
Deficient Even Composite

1,581,788 has digital root 2. The neighboring primes are 1581757 and 1581829; its proper-divisor sum differs from the starting integer by -23,656.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 1601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,139,920
Proper Divisor Sum 1,558,132
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1581757 ← → #1581829

Radix Representation

Decimal 1581788
Binary 110000010001011011100 (21 bits)
Octal 0o6021334
Hexadecimal 0x1822DC

Divisor Catalog (24)

1 2 4 13 19 26 38 52 76 247 494 988 1,601 3,202 6,404 20,813 30,419 41,626 60,838 83,252 121,676 395,447 790,894 1,581,788

Collatz Trajectory (150 steps to reach 1)

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

1,581,788 790,894 395,447 1,186,342 593,171 1,779,514 889,757 2,669,272 1,334,636 667,318 333,659 1,000,978 500,489 1,501,468 750,734 375,367 1,126,102 563,051 1,689,154 844,577 2,533,732 1,266,866 633,433 1,900,300 950,150 475,075 1,425,226 712,613 2,137,840 1,068,920 534,460 267,230 133,615 400,846 200,423 601,270 300,635 901,906 450,953 1,352,860 676,430 338,215 1,014,646 507,323 1,521,970 760,985 2,282,956 1,141,478 570,739 1,712,218 856,109 2,568,328 1,284,164 642,082 321,041 963,124 481,562 240,781 722,344 361,172

More profiles

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