λ
Harmonic Matrix

5,364,565

5 × 29 × 36997
Deficient Odd Composite

5,364,565 has digital root 7. The neighboring primes are 5364559 and 5364613; its proper-divisor sum differs from the starting integer by -4,069,490.

Prime Factor Structure

Factorization String 5 × 29 × 36997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,659,640
Proper Divisor Sum 1,295,075
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5364559 ← → #5364613

Radix Representation

Decimal 5364565
Binary 10100011101101101010101 (23 bits)
Octal 0o24355525
Hexadecimal 0x51DB55

Divisor Catalog (8)

1 5 29 145 36,997 184,985 1,072,913 5,364,565

Collatz Trajectory (95 steps to reach 1)

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

5,364,565 16,093,696 8,046,848 4,023,424 2,011,712 1,005,856 502,928 251,464 125,732 62,866 31,433 94,300 47,150 23,575 70,726 35,363 106,090 53,045 159,136 79,568 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952

More profiles

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