λ
Harmonic Matrix

2,835,788

22 × 19 × 37313
Deficient Even Composite

2,835,788 has digital root 5. The neighboring primes are 2835779 and 2835793; its proper-divisor sum differs from the starting integer by -447,616.

Prime Factor Structure

Factorization String 2^2 × 19 × 37313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,223,960
Proper Divisor Sum 2,388,172
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2835779 ← → #2835793

Radix Representation

Decimal 2835788
Binary 1010110100010101001100 (22 bits)
Octal 0o12642514
Hexadecimal 0x2B454C

Divisor Catalog (12)

1 2 4 19 38 76 37,313 74,626 149,252 708,947 1,417,894 2,835,788

Collatz Trajectory (275 steps to reach 1)

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

2,835,788 1,417,894 708,947 2,126,842 1,063,421 3,190,264 1,595,132 797,566 398,783 1,196,350 598,175 1,794,526 897,263 2,691,790 1,345,895 4,037,686 2,018,843 6,056,530 3,028,265 9,084,796 4,542,398 2,271,199 6,813,598 3,406,799 10,220,398 5,110,199 15,330,598 7,665,299 22,995,898 11,497,949 34,493,848 17,246,924 8,623,462 4,311,731 12,935,194 6,467,597 19,402,792 9,701,396 4,850,698 2,425,349 7,276,048 3,638,024 1,819,012 909,506 454,753 1,364,260 682,130 341,065 1,023,196 511,598 255,799 767,398 383,699 1,151,098 575,549 1,726,648 863,324 431,662 215,831 647,494

More profiles

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