λ
Harmonic Matrix

8,617,142

2 × 4308571
Deficient Even Composite

8,617,142 has digital root 2. The neighboring primes are 8617129 and 8617153; its proper-divisor sum differs from the starting integer by -4,308,568.

Prime Factor Structure

Factorization String 2 × 4308571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,925,716
Proper Divisor Sum 4,308,574
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8617129 ← → #8617153

Radix Representation

Decimal 8617142
Binary 100000110111110010110110 (24 bits)
Octal 0o40676266
Hexadecimal 0x837CB6

Divisor Catalog (4)

1 2 4,308,571 8,617,142

Collatz Trajectory (119 steps to reach 1)

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

8,617,142 4,308,571 12,925,714 6,462,857 19,388,572 9,694,286 4,847,143 14,541,430 7,270,715 21,812,146 10,906,073 32,718,220 16,359,110 8,179,555 24,538,666 12,269,333 36,808,000 18,404,000 9,202,000 4,601,000 2,300,500 1,150,250 575,125 1,725,376 862,688 431,344 215,672 107,836 53,918 26,959 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110

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