λ
Harmonic Matrix

842,255

5 × 168451
Deficient Odd Composite

842,255 has digital root 8. The neighboring primes are 842249 and 842267; its proper-divisor sum differs from the starting integer by -673,798.

Prime Factor Structure

Factorization String 5 × 168451
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,010,712
Proper Divisor Sum 168,457
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #842249 ← → #842267

Radix Representation

Decimal 842255
Binary 11001101101000001111 (20 bits)
Octal 0o3155017
Hexadecimal 0xCDA0F

Divisor Catalog (4)

1 5 168,451 842,255

Collatz Trajectory (131 steps to reach 1)

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

842,255 2,526,766 1,263,383 3,790,150 1,895,075 5,685,226 2,842,613 8,527,840 4,263,920 2,131,960 1,065,980 532,990 266,495 799,486 399,743 1,199,230 599,615 1,798,846 899,423 2,698,270 1,349,135 4,047,406 2,023,703 6,071,110 3,035,555 9,106,666 4,553,333 13,660,000 6,830,000 3,415,000 1,707,500 853,750 426,875 1,280,626 640,313 1,920,940 960,470 480,235 1,440,706 720,353 2,161,060 1,080,530 540,265 1,620,796 810,398 405,199 1,215,598 607,799 1,823,398 911,699 2,735,098 1,367,549 4,102,648 2,051,324 1,025,662 512,831 1,538,494 769,247 2,307,742 1,153,871

More profiles

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