λ
Harmonic Matrix

3,228,952

23 × 59 × 6841
Deficient Even Composite

3,228,952 has digital root 4. The neighboring primes are 3228943 and 3228959; its proper-divisor sum differs from the starting integer by -300,104.

Prime Factor Structure

Factorization String 2^3 × 59 × 6841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,157,800
Proper Divisor Sum 2,928,848
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3228943 ← → #3228959

Radix Representation

Decimal 3228952
Binary 1100010100010100011000 (22 bits)
Octal 0o14242430
Hexadecimal 0x314518

Divisor Catalog (16)

1 2 4 8 59 118 236 472 6,841 13,682 27,364 54,728 403,619 807,238 1,614,476 3,228,952

Collatz Trajectory (115 steps to reach 1)

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

3,228,952 1,614,476 807,238 403,619 1,210,858 605,429 1,816,288 908,144 454,072 227,036 113,518 56,759 170,278 85,139 255,418 127,709 383,128 191,564 95,782 47,891 143,674 71,837 215,512 107,756 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418

More profiles

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