λ
Harmonic Matrix

5,993,936

24 × 13 × 28817
Abundant Even Composite

5,993,936 has digital root 8. The neighboring primes are 5993927 and 5993941; its proper-divisor sum differs from the starting integer by 519,140.

Prime Factor Structure

Factorization String 2^4 × 13 × 28817
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,507,012
Proper Divisor Sum 6,513,076
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5993927 ← → #5993941

Radix Representation

Decimal 5993936
Binary 10110110111010111010000 (23 bits)
Octal 0o26672720
Hexadecimal 0x5B75D0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 28,817 57,634 115,268 230,536 374,621 461,072 749,242 1,498,484 2,996,968 5,993,936

Collatz Trajectory (139 steps to reach 1)

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

5,993,936 2,996,968 1,498,484 749,242 374,621 1,123,864 561,932 280,966 140,483 421,450 210,725 632,176 316,088 158,044 79,022 39,511 118,534 59,267 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340

More profiles

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