λ
Harmonic Matrix

583,719

3 × 179 × 1087
Deficient Odd Composite

583,719 has digital root 6. The neighboring primes are 583697 and 583727; its proper-divisor sum differs from the starting integer by -384,078.

Prime Factor Structure

Factorization String 3 × 179 × 1087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 783,360
Proper Divisor Sum 199,641
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #583697 ← → #583727

Radix Representation

Decimal 583719
Binary 10001110100000100111 (20 bits)
Octal 0o2164047
Hexadecimal 0x8E827

Divisor Catalog (8)

1 3 179 537 1,087 3,261 194,573 583,719

Collatz Trajectory (190 steps to reach 1)

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

583,719 1,751,158 875,579 2,626,738 1,313,369 3,940,108 1,970,054 985,027 2,955,082 1,477,541 4,432,624 2,216,312 1,108,156 554,078 277,039 831,118 415,559 1,246,678 623,339 1,870,018 935,009 2,805,028 1,402,514 701,257 2,103,772 1,051,886 525,943 1,577,830 788,915 2,366,746 1,183,373 3,550,120 1,775,060 887,530 443,765 1,331,296 665,648 332,824 166,412 83,206 41,603 124,810 62,405 187,216 93,608 46,804 23,402 11,701 35,104 17,552 8,776 4,388 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706

More profiles

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