λ
Harmonic Matrix

3,635,428

22 × 908857
Deficient Even Composite

3,635,428 has digital root 4. The neighboring primes are 3635407 and 3635431; its proper-divisor sum differs from the starting integer by -908,850.

Prime Factor Structure

Factorization String 2^2 × 908857
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,362,006
Proper Divisor Sum 2,726,578
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3635407 ← → #3635431

Radix Representation

Decimal 3635428
Binary 1101110111100011100100 (22 bits)
Octal 0o15674344
Hexadecimal 0x3778E4

Divisor Catalog (6)

1 2 4 908,857 1,817,714 3,635,428

Collatz Trajectory (110 steps to reach 1)

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

3,635,428 1,817,714 908,857 2,726,572 1,363,286 681,643 2,044,930 1,022,465 3,067,396 1,533,698 766,849 2,300,548 1,150,274 575,137 1,725,412 862,706 431,353 1,294,060 647,030 323,515 970,546 485,273 1,455,820 727,910 363,955 1,091,866 545,933 1,637,800 818,900 409,450 204,725 614,176 307,088 153,544 76,772 38,386 19,193 57,580 28,790 14,395 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844

More profiles

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