λ
Harmonic Matrix

3,525,615

32 × 5 × 78347
Deficient Odd Composite

3,525,615 has digital root 9. The neighboring primes are 3525593 and 3525623; its proper-divisor sum differs from the starting integer by -940,086.

Prime Factor Structure

Factorization String 3^2 × 5 × 78347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,111,144
Proper Divisor Sum 2,585,529
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3525593 ← → #3525623

Radix Representation

Decimal 3525615
Binary 1101011100101111101111 (22 bits)
Octal 0o15345757
Hexadecimal 0x35CBEF

Divisor Catalog (12)

1 3 5 9 15 45 78,347 235,041 391,735 705,123 1,175,205 3,525,615

Collatz Trajectory (172 steps to reach 1)

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

3,525,615 10,576,846 5,288,423 15,865,270 7,932,635 23,797,906 11,898,953 35,696,860 17,848,430 8,924,215 26,772,646 13,386,323 40,158,970 20,079,485 60,238,456 30,119,228 15,059,614 7,529,807 22,589,422 11,294,711 33,884,134 16,942,067 50,826,202 25,413,101 76,239,304 38,119,652 19,059,826 9,529,913 28,589,740 14,294,870 7,147,435 21,442,306 10,721,153 32,163,460 16,081,730 8,040,865 24,122,596 12,061,298 6,030,649 18,091,948 9,045,974 4,522,987 13,568,962 6,784,481 20,353,444 10,176,722 5,088,361 15,265,084 7,632,542 3,816,271 11,448,814 5,724,407 17,173,222 8,586,611 25,759,834 12,879,917 38,639,752 19,319,876 9,659,938 4,829,969

More profiles

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