λ
Harmonic Matrix

4,132,155

3 × 5 × 83 × 3319
Deficient Odd Composite

4,132,155 has digital root 3. The neighboring primes are 4132153 and 4132159; its proper-divisor sum differs from the starting integer by -1,571,190.

Prime Factor Structure

Factorization String 3 × 5 × 83 × 3319
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,693,120
Proper Divisor Sum 2,560,965
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4132153 ← → #4132159

Radix Representation

Decimal 4132155
Binary 1111110000110100111011 (22 bits)
Octal 0o17606473
Hexadecimal 0x3F0D3B

Divisor Catalog (16)

1 3 5 15 83 249 415 1,245 3,319 9,957 16,595 49,785 275,477 826,431 1,377,385 4,132,155

Collatz Trajectory (61 steps to reach 1)

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

4,132,155 12,396,466 6,198,233 18,594,700 9,297,350 4,648,675 13,946,026 6,973,013 20,919,040 10,459,520 5,229,760 2,614,880 1,307,440 653,720 326,860 163,430 81,715 245,146 122,573 367,720 183,860 91,930 45,965 137,896 68,948 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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