λ
Harmonic Matrix

3,834,788

22 × 277 × 3461
Deficient Even Composite

3,834,788 has digital root 5. The neighboring primes are 3834703 and 3834797; its proper-divisor sum differs from the starting integer by -932,524.

Prime Factor Structure

Factorization String 2^2 × 277 × 3461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,737,052
Proper Divisor Sum 2,902,264
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3834703 ← → #3834797

Radix Representation

Decimal 3834788
Binary 1110101000001110100100 (22 bits)
Octal 0o16501644
Hexadecimal 0x3A83A4

Divisor Catalog (12)

1 2 4 277 554 1,108 3,461 6,922 13,844 958,697 1,917,394 3,834,788

Collatz Trajectory (216 steps to reach 1)

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

3,834,788 1,917,394 958,697 2,876,092 1,438,046 719,023 2,157,070 1,078,535 3,235,606 1,617,803 4,853,410 2,426,705 7,280,116 3,640,058 1,820,029 5,460,088 2,730,044 1,365,022 682,511 2,047,534 1,023,767 3,071,302 1,535,651 4,606,954 2,303,477 6,910,432 3,455,216 1,727,608 863,804 431,902 215,951 647,854 323,927 971,782 485,891 1,457,674 728,837 2,186,512 1,093,256 546,628 273,314 136,657 409,972 204,986 102,493 307,480 153,740 76,870 38,435 115,306 57,653 172,960 86,480 43,240 21,620 10,810 5,405 16,216 8,108 4,054

More profiles

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