λ
Harmonic Matrix

5,093,997

3 × 257 × 6607
Deficient Odd Composite

5,093,997 has digital root 6. The neighboring primes are 5093993 and 5094007; its proper-divisor sum differs from the starting integer by -3,368,538.

Prime Factor Structure

Factorization String 3 × 257 × 6607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,819,456
Proper Divisor Sum 1,725,459
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5093993 ← → #5094007

Radix Representation

Decimal 5093997
Binary 10011011011101001101101 (23 bits)
Octal 0o23335155
Hexadecimal 0x4DBA6D

Divisor Catalog (8)

1 3 257 771 6,607 19,821 1,697,999 5,093,997

Collatz Trajectory (219 steps to reach 1)

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

5,093,997 15,281,992 7,640,996 3,820,498 1,910,249 5,730,748 2,865,374 1,432,687 4,298,062 2,149,031 6,447,094 3,223,547 9,670,642 4,835,321 14,505,964 7,252,982 3,626,491 10,879,474 5,439,737 16,319,212 8,159,606 4,079,803 12,239,410 6,119,705 18,359,116 9,179,558 4,589,779 13,769,338 6,884,669 20,654,008 10,327,004 5,163,502 2,581,751 7,745,254 3,872,627 11,617,882 5,808,941 17,426,824 8,713,412 4,356,706 2,178,353 6,535,060 3,267,530 1,633,765 4,901,296 2,450,648 1,225,324 612,662 306,331 918,994 459,497 1,378,492 689,246 344,623 1,033,870 516,935 1,550,806 775,403 2,326,210 1,163,105

More profiles

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