λ
Harmonic Matrix

578,559

3 × 192853
Deficient Odd Composite

578,559 has digital root 3. The neighboring primes are 578537 and 578563; its proper-divisor sum differs from the starting integer by -385,702.

Prime Factor Structure

Factorization String 3 × 192853
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 771,416
Proper Divisor Sum 192,857
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #578537 ← → #578563

Radix Representation

Decimal 578559
Binary 10001101001111111111 (20 bits)
Octal 0o2151777
Hexadecimal 0x8D3FF

Divisor Catalog (4)

1 3 192,853 578,559

Collatz Trajectory (159 steps to reach 1)

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

578,559 1,735,678 867,839 2,603,518 1,301,759 3,905,278 1,952,639 5,857,918 2,928,959 8,786,878 4,393,439 13,180,318 6,590,159 19,770,478 9,885,239 29,655,718 14,827,859 44,483,578 22,241,789 66,725,368 33,362,684 16,681,342 8,340,671 25,022,014 12,511,007 37,533,022 18,766,511 56,299,534 28,149,767 84,449,302 42,224,651 126,673,954 63,336,977 190,010,932 95,005,466 47,502,733 142,508,200 71,254,100 35,627,050 17,813,525 53,440,576 26,720,288 13,360,144 6,680,072 3,340,036 1,670,018 835,009 2,505,028 1,252,514 626,257 1,878,772 939,386 469,693 1,409,080 704,540 352,270 176,135 528,406 264,203 792,610

More profiles

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