λ
Harmonic Matrix

1,998,117

32 × 11 × 20183
Deficient Odd Composite

1,998,117 has digital root 9. The neighboring primes are 1998109 and 1998119; its proper-divisor sum differs from the starting integer by -847,530.

Prime Factor Structure

Factorization String 3^2 × 11 × 20183
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,148,704
Proper Divisor Sum 1,150,587
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1998109 ← → #1998119

Radix Representation

Decimal 1998117
Binary 111100111110100100101 (21 bits)
Octal 0o7476445
Hexadecimal 0x1E7D25

Divisor Catalog (12)

1 3 9 11 33 99 20,183 60,549 181,647 222,013 666,039 1,998,117

Collatz Trajectory (140 steps to reach 1)

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

1,998,117 5,994,352 2,997,176 1,498,588 749,294 374,647 1,123,942 561,971 1,685,914 842,957 2,528,872 1,264,436 632,218 316,109 948,328 474,164 237,082 118,541 355,624 177,812 88,906 44,453 133,360 66,680 33,340 16,670 8,335 25,006 12,503 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113

More profiles

← Previous Integer #1,998,116 Browse Full Index Next Integer #1,998,118 →