λ
Harmonic Matrix

2,510,517

3 × 836839
Deficient Odd Composite

2,510,517 has digital root 3. The neighboring primes are 2510513 and 2510531; its proper-divisor sum differs from the starting integer by -1,673,674.

Prime Factor Structure

Factorization String 3 × 836839
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,347,360
Proper Divisor Sum 836,843
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2510513 ← → #2510531

Radix Representation

Decimal 2510517
Binary 1001100100111010110101 (22 bits)
Octal 0o11447265
Hexadecimal 0x264EB5

Divisor Catalog (4)

1 3 836,839 2,510,517

Collatz Trajectory (130 steps to reach 1)

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

2,510,517 7,531,552 3,765,776 1,882,888 941,444 470,722 235,361 706,084 353,042 176,521 529,564 264,782 132,391 397,174 198,587 595,762 297,881 893,644 446,822 223,411 670,234 335,117 1,005,352 502,676 251,338 125,669 377,008 188,504 94,252 47,126 23,563 70,690 35,345 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

More profiles

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