λ
Harmonic Matrix

3,826,489

41 × 93329
Deficient Odd Composite

3,826,489 has digital root 4. The neighboring primes are 3826481 and 3826499; its proper-divisor sum differs from the starting integer by -3,733,118.

Prime Factor Structure

Factorization String 41 × 93329
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,919,860
Proper Divisor Sum 93,371
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3826481 ← → #3826499

Radix Representation

Decimal 3826489
Binary 1110100110001100111001 (22 bits)
Octal 0o16461471
Hexadecimal 0x3A6339

Divisor Catalog (4)

1 41 93,329 3,826,489

Collatz Trajectory (247 steps to reach 1)

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

3,826,489 11,479,468 5,739,734 2,869,867 8,609,602 4,304,801 12,914,404 6,457,202 3,228,601 9,685,804 4,842,902 2,421,451 7,264,354 3,632,177 10,896,532 5,448,266 2,724,133 8,172,400 4,086,200 2,043,100 1,021,550 510,775 1,532,326 766,163 2,298,490 1,149,245 3,447,736 1,723,868 861,934 430,967 1,292,902 646,451 1,939,354 969,677 2,909,032 1,454,516 727,258 363,629 1,090,888 545,444 272,722 136,361 409,084 204,542 102,271 306,814 153,407 460,222 230,111 690,334 345,167 1,035,502 517,751 1,553,254 776,627 2,329,882 1,164,941 3,494,824 1,747,412 873,706

More profiles

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