λ
Harmonic Matrix

2,625,429

3 × 17 × 51479
Deficient Odd Composite

2,625,429 has digital root 3. The neighboring primes are 2625397 and 2625433; its proper-divisor sum differs from the starting integer by -1,544,298.

Prime Factor Structure

Factorization String 3 × 17 × 51479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,706,560
Proper Divisor Sum 1,081,131
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2625397 ← → #2625433

Radix Representation

Decimal 2625429
Binary 1010000000111110010101 (22 bits)
Octal 0o12007625
Hexadecimal 0x280F95

Divisor Catalog (8)

1 3 17 51 51,479 154,437 875,143 2,625,429

Collatz Trajectory (125 steps to reach 1)

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

2,625,429 7,876,288 3,938,144 1,969,072 984,536 492,268 246,134 123,067 369,202 184,601 553,804 276,902 138,451 415,354 207,677 623,032 311,516 155,758 77,879 233,638 116,819 350,458 175,229 525,688 262,844 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916

More profiles

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