λ
Harmonic Matrix

1,611,382

2 × 41 × 43 × 457
Deficient Even Composite

1,611,382 has digital root 4. The neighboring primes are 1611367 and 1611391; its proper-divisor sum differs from the starting integer by -683,612.

Prime Factor Structure

Factorization String 2 × 41 × 43 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,539,152
Proper Divisor Sum 927,770
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1611367 ← → #1611391

Radix Representation

Decimal 1611382
Binary 110001001011001110110 (21 bits)
Octal 0o6113166
Hexadecimal 0x189676

Divisor Catalog (16)

1 2 41 43 82 86 457 914 1,763 3,526 18,737 19,651 37,474 39,302 805,691 1,611,382

Collatz Trajectory (207 steps to reach 1)

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

1,611,382 805,691 2,417,074 1,208,537 3,625,612 1,812,806 906,403 2,719,210 1,359,605 4,078,816 2,039,408 1,019,704 509,852 254,926 127,463 382,390 191,195 573,586 286,793 860,380 430,190 215,095 645,286 322,643 967,930 483,965 1,451,896 725,948 362,974 181,487 544,462 272,231 816,694 408,347 1,225,042 612,521 1,837,564 918,782 459,391 1,378,174 689,087 2,067,262 1,033,631 3,100,894 1,550,447 4,651,342 2,325,671 6,977,014 3,488,507 10,465,522 5,232,761 15,698,284 7,849,142 3,924,571 11,773,714 5,886,857 17,660,572 8,830,286 4,415,143 13,245,430

More profiles

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