λ
Harmonic Matrix

1,998,951

3 × 109 × 6113
Deficient Odd Composite

1,998,951 has digital root 6. The neighboring primes are 1998949 and 1998961; its proper-divisor sum differs from the starting integer by -1,307,742.

Prime Factor Structure

Factorization String 3 × 109 × 6113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,690,160
Proper Divisor Sum 691,209
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1998949 ← → #1998961

Radix Representation

Decimal 1998951
Binary 111101000000001100111 (21 bits)
Octal 0o7500147
Hexadecimal 0x1E8067

Divisor Catalog (8)

1 3 109 327 6,113 18,339 666,317 1,998,951

Collatz Trajectory (140 steps to reach 1)

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

1,998,951 5,996,854 2,998,427 8,995,282 4,497,641 13,492,924 6,746,462 3,373,231 10,119,694 5,059,847 15,179,542 7,589,771 22,769,314 11,384,657 34,153,972 17,076,986 8,538,493 25,615,480 12,807,740 6,403,870 3,201,935 9,605,806 4,802,903 14,408,710 7,204,355 21,613,066 10,806,533 32,419,600 16,209,800 8,104,900 4,052,450 2,026,225 6,078,676 3,039,338 1,519,669 4,559,008 2,279,504 1,139,752 569,876 284,938 142,469 427,408 213,704 106,852 53,426 26,713 80,140 40,070 20,035 60,106 30,053 90,160 45,080 22,540 11,270 5,635 16,906 8,453 25,360 12,680

More profiles

← Previous Integer #1,998,950 Browse Full Index Next Integer #1,998,952 →