λ
Harmonic Matrix

8,606,146

2 × 41 × 104953
Deficient Even Composite

8,606,146 has digital root 4. The neighboring primes are 8606137 and 8606173; its proper-divisor sum differs from the starting integer by -3,988,088.

Prime Factor Structure

Factorization String 2 × 41 × 104953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,224,204
Proper Divisor Sum 4,618,058
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8606137 ← → #8606173

Radix Representation

Decimal 8606146
Binary 100000110101000111000010 (24 bits)
Octal 0o40650702
Hexadecimal 0x8351C2

Divisor Catalog (8)

Collatz Trajectory (243 steps to reach 1)

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

8,606,146 4,303,073 12,909,220 6,454,610 3,227,305 9,681,916 4,840,958 2,420,479 7,261,438 3,630,719 10,892,158 5,446,079 16,338,238 8,169,119 24,507,358 12,253,679 36,761,038 18,380,519 55,141,558 27,570,779 82,712,338 41,356,169 124,068,508 62,034,254 31,017,127 93,051,382 46,525,691 139,577,074 69,788,537 209,365,612 104,682,806 52,341,403 157,024,210 78,512,105 235,536,316 117,768,158 58,884,079 176,652,238 88,326,119 264,978,358 132,489,179 397,467,538 198,733,769 596,201,308 298,100,654 149,050,327 447,150,982 223,575,491 670,726,474 335,363,237 1,006,089,712 503,044,856 251,522,428 125,761,214 62,880,607 188,641,822 94,320,911 282,962,734 141,481,367 424,444,102

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