λ
Harmonic Matrix

3,456,150

2 × 3 × 52 × 23041
Abundant Even Composite

3,456,150 has digital root 6. The neighboring primes are 3456139 and 3456169; its proper-divisor sum differs from the starting integer by 1,659,324.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 23041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,571,624
Proper Divisor Sum 5,115,474
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3456139 ← → #3456169

Radix Representation

Decimal 3456150
Binary 1101001011110010010110 (22 bits)
Octal 0o15136226
Hexadecimal 0x34BC96

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 23,041 46,082 69,123 115,205 138,246 230,410 345,615 576,025 691,230 1,152,050 1,728,075 3,456,150

Collatz Trajectory (252 steps to reach 1)

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

3,456,150 1,728,075 5,184,226 2,592,113 7,776,340 3,888,170 1,944,085 5,832,256 2,916,128 1,458,064 729,032 364,516 182,258 91,129 273,388 136,694 68,347 205,042 102,521 307,564 153,782 76,891 230,674 115,337 346,012 173,006 86,503 259,510 129,755 389,266 194,633 583,900 291,950 145,975 437,926 218,963 656,890 328,445 985,336 492,668 246,334 123,167 369,502 184,751 554,254 277,127 831,382 415,691 1,247,074 623,537 1,870,612 935,306 467,653 1,402,960 701,480 350,740 175,370 87,685 263,056 131,528

More profiles

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