λ
Harmonic Matrix

5,746,893

3 × 317 × 6043
Deficient Odd Composite

5,746,893 has digital root 6. The neighboring primes are 5746889 and 5746903; its proper-divisor sum differs from the starting integer by -3,805,818.

Prime Factor Structure

Factorization String 3 × 317 × 6043
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,687,968
Proper Divisor Sum 1,941,075
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5746889 ← → #5746903

Radix Representation

Decimal 5746893
Binary 10101111011000011001101 (23 bits)
Octal 0o25730315
Hexadecimal 0x57B0CD

Divisor Catalog (8)

1 3 317 951 6,043 18,129 1,915,631 5,746,893

Collatz Trajectory (77 steps to reach 1)

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

5,746,893 17,240,680 8,620,340 4,310,170 2,155,085 6,465,256 3,232,628 1,616,314 808,157 2,424,472 1,212,236 606,118 303,059 909,178 454,589 1,363,768 681,884 340,942 170,471 511,414 255,707 767,122 383,561 1,150,684 575,342 287,671 863,014 431,507 1,294,522 647,261 1,941,784 970,892 485,446 242,723 728,170 364,085 1,092,256 546,128 273,064 136,532 68,266 34,133 102,400 51,200 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29

More profiles

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