λ
Harmonic Matrix

590,115

3 × 5 × 39341
Deficient Odd Composite

590,115 has digital root 3. The neighboring primes are 590099 and 590119; its proper-divisor sum differs from the starting integer by -236,022.

Prime Factor Structure

Factorization String 3 × 5 × 39341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 944,208
Proper Divisor Sum 354,093
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #590099 ← → #590119

Radix Representation

Decimal 590115
Binary 10010000000100100011 (20 bits)
Octal 0o2200443
Hexadecimal 0x90123

Divisor Catalog (8)

1 3 5 15 39,341 118,023 196,705 590,115

Collatz Trajectory (97 steps to reach 1)

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

590,115 1,770,346 885,173 2,655,520 1,327,760 663,880 331,940 165,970 82,985 248,956 124,478 62,239 186,718 93,359 280,078 140,039 420,118 210,059 630,178 315,089 945,268 472,634 236,317 708,952 354,476 177,238 88,619 265,858 132,929 398,788 199,394 99,697 299,092 149,546 74,773 224,320 112,160 56,080 28,040 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628

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