λ
Harmonic Matrix

5,159,799

32 × 167 × 3433
Deficient Odd Composite

5,159,799 has digital root 9. The neighboring primes are 5159779 and 5159813; its proper-divisor sum differs from the starting integer by -2,819,742.

Prime Factor Structure

Factorization String 3^2 × 167 × 3433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,499,856
Proper Divisor Sum 2,340,057
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5159779 ← → #5159813

Radix Representation

Decimal 5159799
Binary 10011101011101101110111 (23 bits)
Octal 0o23535567
Hexadecimal 0x4EBB77

Divisor Catalog (12)

1 3 9 167 501 1,503 3,433 10,299 30,897 573,311 1,719,933 5,159,799

Collatz Trajectory (188 steps to reach 1)

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

5,159,799 15,479,398 7,739,699 23,219,098 11,609,549 34,828,648 17,414,324 8,707,162 4,353,581 13,060,744 6,530,372 3,265,186 1,632,593 4,897,780 2,448,890 1,224,445 3,673,336 1,836,668 918,334 459,167 1,377,502 688,751 2,066,254 1,033,127 3,099,382 1,549,691 4,649,074 2,324,537 6,973,612 3,486,806 1,743,403 5,230,210 2,615,105 7,845,316 3,922,658 1,961,329 5,883,988 2,941,994 1,470,997 4,412,992 2,206,496 1,103,248 551,624 275,812 137,906 68,953 206,860 103,430 51,715 155,146 77,573 232,720 116,360 58,180 29,090 14,545 43,636 21,818 10,909 32,728

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