λ
Harmonic Matrix

3,402,408

23 × 3 × 141767
Abundant Even Composite

3,402,408 has digital root 3. The neighboring primes are 3402407 and 3402437; its proper-divisor sum differs from the starting integer by 1,701,264.

Prime Factor Structure

Factorization String 2^3 × 3 × 141767
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,506,080
Proper Divisor Sum 5,103,672
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3402407 ← → #3402437

Radix Representation

Decimal 3402408
Binary 1100111110101010101000 (22 bits)
Octal 0o14765250
Hexadecimal 0x33EAA8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 141,767 283,534 425,301 567,068 850,602 1,134,136 1,701,204 3,402,408

Collatz Trajectory (146 steps to reach 1)

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

3,402,408 1,701,204 850,602 425,301 1,275,904 637,952 318,976 159,488 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

More profiles

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