λ
Harmonic Matrix

3,181,555

5 × 13 × 48947
Deficient Odd Composite

3,181,555 has digital root 1. The neighboring primes are 3181543 and 3181573; its proper-divisor sum differs from the starting integer by -2,251,478.

Prime Factor Structure

Factorization String 5 × 13 × 48947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,111,632
Proper Divisor Sum 930,077
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3181543 ← → #3181573

Radix Representation

Decimal 3181555
Binary 1100001000101111110011 (22 bits)
Octal 0o14105763
Hexadecimal 0x308BF3

Divisor Catalog (8)

1 5 13 65 48,947 244,735 636,311 3,181,555

Collatz Trajectory (195 steps to reach 1)

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

3,181,555 9,544,666 4,772,333 14,317,000 7,158,500 3,579,250 1,789,625 5,368,876 2,684,438 1,342,219 4,026,658 2,013,329 6,039,988 3,019,994 1,509,997 4,529,992 2,264,996 1,132,498 566,249 1,698,748 849,374 424,687 1,274,062 637,031 1,911,094 955,547 2,866,642 1,433,321 4,299,964 2,149,982 1,074,991 3,224,974 1,612,487 4,837,462 2,418,731 7,256,194 3,628,097 10,884,292 5,442,146 2,721,073 8,163,220 4,081,610 2,040,805 6,122,416 3,061,208 1,530,604 765,302 382,651 1,147,954 573,977 1,721,932 860,966 430,483 1,291,450 645,725 1,937,176 968,588 484,294 242,147 726,442

More profiles

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