λ
Harmonic Matrix

2,519,024

24 × 313 × 503
Deficient Even Composite

2,519,024 has digital root 5. The neighboring primes are 2519021 and 2519047; its proper-divisor sum differs from the starting integer by -132,112.

Prime Factor Structure

Factorization String 2^4 × 313 × 503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,905,936
Proper Divisor Sum 2,386,912
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2519021 ← → #2519047

Radix Representation

Decimal 2519024
Binary 1001100110111111110000 (22 bits)
Octal 0o11467760
Hexadecimal 0x266FF0

Divisor Catalog (20)

1 2 4 8 16 313 503 626 1,006 1,252 2,012 2,504 4,024 5,008 8,048 157,439 314,878 629,756 1,259,512 2,519,024

Collatz Trajectory (174 steps to reach 1)

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

2,519,024 1,259,512 629,756 314,878 157,439 472,318 236,159 708,478 354,239 1,062,718 531,359 1,594,078 797,039 2,391,118 1,195,559 3,586,678 1,793,339 5,380,018 2,690,009 8,070,028 4,035,014 2,017,507 6,052,522 3,026,261 9,078,784 4,539,392 2,269,696 1,134,848 567,424 283,712 141,856 70,928 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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