λ
Harmonic Matrix

1,832,998

2 × 149 × 6151
Deficient Even Composite

1,832,998 has digital root 4. The neighboring primes are 1832983 and 1833001; its proper-divisor sum differs from the starting integer by -897,596.

Prime Factor Structure

Factorization String 2 × 149 × 6151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,768,400
Proper Divisor Sum 935,402
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1832983 ← → #1833001

Radix Representation

Decimal 1832998
Binary 110111111100000100110 (21 bits)
Octal 0o6774046
Hexadecimal 0x1BF826

Divisor Catalog (8)

1 2 149 298 6,151 12,302 916,499 1,832,998

Collatz Trajectory (57 steps to reach 1)

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

1,832,998 916,499 2,749,498 1,374,749 4,124,248 2,062,124 1,031,062 515,531 1,546,594 773,297 2,319,892 1,159,946 579,973 1,739,920 869,960 434,980 217,490 108,745 326,236 163,118 81,559 244,678 122,339 367,018 183,509 550,528 275,264 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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