λ
Harmonic Matrix

1,716,369

3 × 59 × 9697
Deficient Odd Composite

1,716,369 has digital root 6. The neighboring primes are 1716367 and 1716389; its proper-divisor sum differs from the starting integer by -1,105,218.

Prime Factor Structure

Factorization String 3 × 59 × 9697
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,327,520
Proper Divisor Sum 611,151
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1716367 ← → #1716389

Radix Representation

Decimal 1716369
Binary 110100011000010010001 (21 bits)
Octal 0o6430221
Hexadecimal 0x1A3091

Divisor Catalog (8)

1 3 59 177 9,697 29,091 572,123 1,716,369

Collatz Trajectory (114 steps to reach 1)

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

1,716,369 5,149,108 2,574,554 1,287,277 3,861,832 1,930,916 965,458 482,729 1,448,188 724,094 362,047 1,086,142 543,071 1,629,214 814,607 2,443,822 1,221,911 3,665,734 1,832,867 5,498,602 2,749,301 8,247,904 4,123,952 2,061,976 1,030,988 515,494 257,747 773,242 386,621 1,159,864 579,932 289,966 144,983 434,950 217,475 652,426 326,213 978,640 489,320 244,660 122,330 61,165 183,496 91,748 45,874 22,937 68,812 34,406 17,203 51,610 25,805 77,416 38,708 19,354 9,677 29,032 14,516 7,258 3,629 10,888

More profiles

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