λ
Harmonic Matrix

1,790,289

33 × 61 × 1087
Deficient Odd Composite

1,790,289 has digital root 9. The neighboring primes are 1790279 and 1790291; its proper-divisor sum differs from the starting integer by -882,338.

Prime Factor Structure

Factorization String 3^3 × 61 × 1087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,698,240
Proper Divisor Sum 907,951
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1790279 ← → #1790291

Radix Representation

Decimal 1790289
Binary 110110101000101010001 (21 bits)
Octal 0o6650521
Hexadecimal 0x1B5151

Divisor Catalog (16)

1 3 9 27 61 183 549 1,087 1,647 3,261 9,783 29,349 66,307 198,921 596,763 1,790,289

Collatz Trajectory (140 steps to reach 1)

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

1,790,289 5,370,868 2,685,434 1,342,717 4,028,152 2,014,076 1,007,038 503,519 1,510,558 755,279 2,265,838 1,132,919 3,398,758 1,699,379 5,098,138 2,549,069 7,647,208 3,823,604 1,911,802 955,901 2,867,704 1,433,852 716,926 358,463 1,075,390 537,695 1,613,086 806,543 2,419,630 1,209,815 3,629,446 1,814,723 5,444,170 2,722,085 8,166,256 4,083,128 2,041,564 1,020,782 510,391 1,531,174 765,587 2,296,762 1,148,381 3,445,144 1,722,572 861,286 430,643 1,291,930 645,965 1,937,896 968,948 484,474 242,237 726,712 363,356 181,678 90,839 272,518 136,259 408,778

More profiles

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