λ
Harmonic Matrix

2,659,036

22 × 421 × 1579
Deficient Even Composite

2,659,036 has digital root 4. The neighboring primes are 2659001 and 2659037; its proper-divisor sum differs from the starting integer by -650,752.

Prime Factor Structure

Factorization String 2^2 × 421 × 1579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,667,320
Proper Divisor Sum 2,008,284
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2659001 ← → #2659037

Radix Representation

Decimal 2659036
Binary 1010001001001011011100 (22 bits)
Octal 0o12111334
Hexadecimal 0x2892DC

Divisor Catalog (12)

1 2 4 421 842 1,579 1,684 3,158 6,316 664,759 1,329,518 2,659,036

Collatz Trajectory (81 steps to reach 1)

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

2,659,036 1,329,518 664,759 1,994,278 997,139 2,991,418 1,495,709 4,487,128 2,243,564 1,121,782 560,891 1,682,674 841,337 2,524,012 1,262,006 631,003 1,893,010 946,505 2,839,516 1,419,758 709,879 2,129,638 1,064,819 3,194,458 1,597,229 4,791,688 2,395,844 1,197,922 598,961 1,796,884 898,442 449,221 1,347,664 673,832 336,916 168,458 84,229 252,688 126,344 63,172 31,586 15,793 47,380 23,690 11,845 35,536 17,768 8,884 4,442 2,221 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469

More profiles

← Previous Integer #2,659,035 Browse Full Index Next Integer #2,659,037 →