λ
Harmonic Matrix

5,615,695

5 × 17 × 66067
Deficient Odd Composite

5,615,695 has digital root 1. The neighboring primes are 5615689 and 5615699; its proper-divisor sum differs from the starting integer by -4,096,046.

Prime Factor Structure

Factorization String 5 × 17 × 66067
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,135,344
Proper Divisor Sum 1,519,649
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5615689 ← → #5615699

Radix Representation

Decimal 5615695
Binary 10101011011000001001111 (23 bits)
Octal 0o25330117
Hexadecimal 0x55B04F

Divisor Catalog (8)

1 5 17 85 66,067 330,335 1,123,139 5,615,695

Collatz Trajectory (157 steps to reach 1)

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

5,615,695 16,847,086 8,423,543 25,270,630 12,635,315 37,905,946 18,952,973 56,858,920 28,429,460 14,214,730 7,107,365 21,322,096 10,661,048 5,330,524 2,665,262 1,332,631 3,997,894 1,998,947 5,996,842 2,998,421 8,995,264 4,497,632 2,248,816 1,124,408 562,204 281,102 140,551 421,654 210,827 632,482 316,241 948,724 474,362 237,181 711,544 355,772 177,886 88,943 266,830 133,415 400,246 200,123 600,370 300,185 900,556 450,278 225,139 675,418 337,709 1,013,128 506,564 253,282 126,641 379,924 189,962 94,981 284,944 142,472 71,236 35,618

More profiles

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