λ
Harmonic Matrix

1,621,398

2 × 3 × 181 × 1493
Abundant Even Composite

1,621,398 has digital root 3. The neighboring primes are 1621397 and 1621421; its proper-divisor sum differs from the starting integer by 20,100.

Prime Factor Structure

Factorization String 2 × 3 × 181 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,262,896
Proper Divisor Sum 1,641,498
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1621397 ← → #1621421

Radix Representation

Decimal 1621398
Binary 110001011110110010110 (21 bits)
Octal 0o6136626
Hexadecimal 0x18BD96

Divisor Catalog (16)

1 2 3 6 181 362 543 1,086 1,493 2,986 4,479 8,958 270,233 540,466 810,699 1,621,398

Collatz Trajectory (344 steps to reach 1)

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

1,621,398 810,699 2,432,098 1,216,049 3,648,148 1,824,074 912,037 2,736,112 1,368,056 684,028 342,014 171,007 513,022 256,511 769,534 384,767 1,154,302 577,151 1,731,454 865,727 2,597,182 1,298,591 3,895,774 1,947,887 5,843,662 2,921,831 8,765,494 4,382,747 13,148,242 6,574,121 19,722,364 9,861,182 4,930,591 14,791,774 7,395,887 22,187,662 11,093,831 33,281,494 16,640,747 49,922,242 24,961,121 74,883,364 37,441,682 18,720,841 56,162,524 28,081,262 14,040,631 42,121,894 21,060,947 63,182,842 31,591,421 94,774,264 47,387,132 23,693,566 11,846,783 35,540,350 17,770,175 53,310,526 26,655,263 79,965,790

More profiles

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