λ
Harmonic Matrix

3,283,723

107 × 30689
Deficient Odd Composite

3,283,723 has digital root 1. The neighboring primes are 3283717 and 3283727; its proper-divisor sum differs from the starting integer by -3,252,926.

Prime Factor Structure

Factorization String 107 × 30689
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,314,520
Proper Divisor Sum 30,797
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3283717 ← → #3283727

Radix Representation

Decimal 3283723
Binary 1100100001101100001011 (22 bits)
Octal 0o14415413
Hexadecimal 0x321B0B

Divisor Catalog (4)

1 107 30,689 3,283,723

Collatz Trajectory (208 steps to reach 1)

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

3,283,723 9,851,170 4,925,585 14,776,756 7,388,378 3,694,189 11,082,568 5,541,284 2,770,642 1,385,321 4,155,964 2,077,982 1,038,991 3,116,974 1,558,487 4,675,462 2,337,731 7,013,194 3,506,597 10,519,792 5,259,896 2,629,948 1,314,974 657,487 1,972,462 986,231 2,958,694 1,479,347 4,438,042 2,219,021 6,657,064 3,328,532 1,664,266 832,133 2,496,400 1,248,200 624,100 312,050 156,025 468,076 234,038 117,019 351,058 175,529 526,588 263,294 131,647 394,942 197,471 592,414 296,207 888,622 444,311 1,332,934 666,467 1,999,402 999,701 2,999,104 1,499,552 749,776

More profiles

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