λ
Harmonic Matrix

2,042,294

2 × 67 × 15241
Deficient Even Composite

2,042,294 has digital root 5. The neighboring primes are 2042281 and 2042297; its proper-divisor sum differs from the starting integer by -975,220.

Prime Factor Structure

Factorization String 2 × 67 × 15241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,109,368
Proper Divisor Sum 1,067,074
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2042281 ← → #2042297

Radix Representation

Decimal 2042294
Binary 111110010100110110110 (21 bits)
Octal 0o7624666
Hexadecimal 0x1F29B6

Divisor Catalog (8)

1 2 67 134 15,241 30,482 1,021,147 2,042,294

Collatz Trajectory (184 steps to reach 1)

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

2,042,294 1,021,147 3,063,442 1,531,721 4,595,164 2,297,582 1,148,791 3,446,374 1,723,187 5,169,562 2,584,781 7,754,344 3,877,172 1,938,586 969,293 2,907,880 1,453,940 726,970 363,485 1,090,456 545,228 272,614 136,307 408,922 204,461 613,384 306,692 153,346 76,673 230,020 115,010 57,505 172,516 86,258 43,129 129,388 64,694 32,347 97,042 48,521 145,564 72,782 36,391 109,174 54,587 163,762 81,881 245,644 122,822 61,411 184,234 92,117 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159

More profiles

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