λ
Harmonic Matrix

8,340,455

5 × 17 × 98123
Deficient Odd Composite

8,340,455 has digital root 2. The neighboring primes are 8340443 and 8340473; its proper-divisor sum differs from the starting integer by -6,083,518.

Prime Factor Structure

Factorization String 5 × 17 × 98123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,597,392
Proper Divisor Sum 2,256,937
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8340443 ← → #8340473

Radix Representation

Decimal 8340455
Binary 11111110100001111100111 (23 bits)
Octal 0o37641747
Hexadecimal 0x7F43E7

Divisor Catalog (8)

1 5 17 85 98,123 490,615 1,668,091 8,340,455

Collatz Trajectory (137 steps to reach 1)

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

8,340,455 25,021,366 12,510,683 37,532,050 18,766,025 56,298,076 28,149,038 14,074,519 42,223,558 21,111,779 63,335,338 31,667,669 95,003,008 47,501,504 23,750,752 11,875,376 5,937,688 2,968,844 1,484,422 742,211 2,226,634 1,113,317 3,339,952 1,669,976 834,988 417,494 208,747 626,242 313,121 939,364 469,682 234,841 704,524 352,262 176,131 528,394 264,197 792,592 396,296 198,148 99,074 49,537 148,612 74,306 37,153 111,460 55,730 27,865 83,596 41,798 20,899 62,698 31,349 94,048 47,024 23,512 11,756 5,878 2,939 8,818

More profiles

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