λ
Harmonic Matrix

8,615,198

2 × 1021 × 4219
Deficient Even Composite

8,615,198 has digital root 2. The neighboring primes are 8615197 and 8615219; its proper-divisor sum differs from the starting integer by -4,291,876.

Prime Factor Structure

Factorization String 2 × 1021 × 4219
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,938,520
Proper Divisor Sum 4,323,322
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8615197 ← → #8615219

Radix Representation

Decimal 8615198
Binary 100000110111010100011110 (24 bits)
Octal 0o40672436
Hexadecimal 0x83751E

Divisor Catalog (8)

1 2 1,021 2,042 4,219 8,438 4,307,599 8,615,198

Collatz Trajectory (168 steps to reach 1)

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

8,615,198 4,307,599 12,922,798 6,461,399 19,384,198 9,692,099 29,076,298 14,538,149 43,614,448 21,807,224 10,903,612 5,451,806 2,725,903 8,177,710 4,088,855 12,266,566 6,133,283 18,399,850 9,199,925 27,599,776 13,799,888 6,899,944 3,449,972 1,724,986 862,493 2,587,480 1,293,740 646,870 323,435 970,306 485,153 1,455,460 727,730 363,865 1,091,596 545,798 272,899 818,698 409,349 1,228,048 614,024 307,012 153,506 76,753 230,260 115,130 57,565 172,696 86,348 43,174 21,587 64,762 32,381 97,144 48,572 24,286 12,143 36,430 18,215 54,646

More profiles

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