λ
Harmonic Matrix

5,813,657

67 × 86771
Deficient Odd Composite

5,813,657 has digital root 8. The neighboring primes are 5813627 and 5813663; its proper-divisor sum differs from the starting integer by -5,726,818.

Prime Factor Structure

Factorization String 67 × 86771
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,900,496
Proper Divisor Sum 86,839
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5813627 ← → #5813663

Radix Representation

Decimal 5813657
Binary 10110001011010110011001 (23 bits)
Octal 0o26132631
Hexadecimal 0x58B599

Divisor Catalog (4)

1 67 86,771 5,813,657

Collatz Trajectory (108 steps to reach 1)

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

5,813,657 17,440,972 8,720,486 4,360,243 13,080,730 6,540,365 19,621,096 9,810,548 4,905,274 2,452,637 7,357,912 3,678,956 1,839,478 919,739 2,759,218 1,379,609 4,138,828 2,069,414 1,034,707 3,104,122 1,552,061 4,656,184 2,328,092 1,164,046 582,023 1,746,070 873,035 2,619,106 1,309,553 3,928,660 1,964,330 982,165 2,946,496 1,473,248 736,624 368,312 184,156 92,078 46,039 138,118 69,059 207,178 103,589 310,768 155,384 77,692 38,846 19,423 58,270 29,135 87,406 43,703 131,110 65,555 196,666 98,333 295,000 147,500 73,750 36,875

More profiles

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