λ
Harmonic Matrix

3,445,184

26 × 53831
Deficient Even Composite

3,445,184 has digital root 2. The neighboring primes are 3445157 and 3445199; its proper-divisor sum differs from the starting integer by -53,704.

Prime Factor Structure

Factorization String 2^6 × 53831
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 6,836,664
Proper Divisor Sum 3,391,480
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3445157 ← → #3445199

Radix Representation

Decimal 3445184
Binary 1101001001000111000000 (22 bits)
Octal 0o15110700
Hexadecimal 0x3491C0

Divisor Catalog (14)

1 2 4 8 16 32 64 53,831 107,662 215,324 430,648 861,296 1,722,592 3,445,184

Collatz Trajectory (58 steps to reach 1)

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

3,445,184 1,722,592 861,296 430,648 215,324 107,662 53,831 161,494 80,747 242,242 121,121 363,364 181,682 90,841 272,524 136,262 68,131 204,394 102,197 306,592 153,296 76,648 38,324 19,162 9,581 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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