λ
Harmonic Matrix

3,310,484

22 × 19 × 43 × 1013
Deficient Even Composite

3,310,484 has digital root 5. The neighboring primes are 3310469 and 3310507; its proper-divisor sum differs from the starting integer by -374,728.

Prime Factor Structure

Factorization String 2^2 × 19 × 43 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,246,240
Proper Divisor Sum 2,935,756
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3310469 ← → #3310507

Radix Representation

Decimal 3310484
Binary 1100101000001110010100 (22 bits)
Octal 0o14501624
Hexadecimal 0x328394

Divisor Catalog (24)

1 2 4 19 38 43 76 86 172 817 1,013 1,634 2,026 3,268 4,052 19,247 38,494 43,559 76,988 87,118 174,236 827,621 1,655,242 3,310,484

Collatz Trajectory (146 steps to reach 1)

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

3,310,484 1,655,242 827,621 2,482,864 1,241,432 620,716 310,358 155,179 465,538 232,769 698,308 349,154 174,577 523,732 261,866 130,933 392,800 196,400 98,200 49,100 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503

More profiles

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