λ
Harmonic Matrix

5,149,797

3 × 1716599
Deficient Odd Composite

5,149,797 has digital root 6. The neighboring primes are 5149783 and 5149801; its proper-divisor sum differs from the starting integer by -3,433,194.

Prime Factor Structure

Factorization String 3 × 1716599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,866,400
Proper Divisor Sum 1,716,603
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5149783 ← → #5149801

Radix Representation

Decimal 5149797
Binary 10011101001010001100101 (23 bits)
Octal 0o23512145
Hexadecimal 0x4E9465

Divisor Catalog (4)

1 3 1,716,599 5,149,797

Collatz Trajectory (175 steps to reach 1)

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

5,149,797 15,449,392 7,724,696 3,862,348 1,931,174 965,587 2,896,762 1,448,381 4,345,144 2,172,572 1,086,286 543,143 1,629,430 814,715 2,444,146 1,222,073 3,666,220 1,833,110 916,555 2,749,666 1,374,833 4,124,500 2,062,250 1,031,125 3,093,376 1,546,688 773,344 386,672 193,336 96,668 48,334 24,167 72,502 36,251 108,754 54,377 163,132 81,566 40,783 122,350 61,175 183,526 91,763 275,290 137,645 412,936 206,468 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665

More profiles

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