λ
Harmonic Matrix

5,731,743

3 × 61 × 31321
Deficient Odd Composite

5,731,743 has digital root 3. The neighboring primes are 5731729 and 5731757; its proper-divisor sum differs from the starting integer by -3,695,630.

Prime Factor Structure

Factorization String 3 × 61 × 31321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,767,856
Proper Divisor Sum 2,036,113
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5731729 ← → #5731757

Radix Representation

Decimal 5731743
Binary 10101110111010110011111 (23 bits)
Octal 0o25672637
Hexadecimal 0x57759F

Divisor Catalog (8)

1 3 61 183 31,321 93,963 1,910,581 5,731,743

Collatz Trajectory (369 steps to reach 1)

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

5,731,743 17,195,230 8,597,615 25,792,846 12,896,423 38,689,270 19,344,635 58,033,906 29,016,953 87,050,860 43,525,430 21,762,715 65,288,146 32,644,073 97,932,220 48,966,110 24,483,055 73,449,166 36,724,583 110,173,750 55,086,875 165,260,626 82,630,313 247,890,940 123,945,470 61,972,735 185,918,206 92,959,103 278,877,310 139,438,655 418,315,966 209,157,983 627,473,950 313,736,975 941,210,926 470,605,463 1,411,816,390 705,908,195 2,117,724,586 1,058,862,293 3,176,586,880 1,588,293,440 794,146,720 397,073,360 198,536,680 99,268,340 49,634,170 24,817,085 74,451,256 37,225,628 18,612,814 9,306,407 27,919,222 13,959,611 41,878,834 20,939,417 62,818,252 31,409,126 15,704,563 47,113,690

More profiles

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