λ
Harmonic Matrix

2,514,425

52 × 43 × 2339
Deficient Odd Composite

2,514,425 has digital root 5. The neighboring primes are 2514401 and 2514427; its proper-divisor sum differs from the starting integer by -1,837,090.

Prime Factor Structure

Factorization String 5^2 × 43 × 2339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,191,760
Proper Divisor Sum 677,335
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2514401 ← → #2514427

Radix Representation

Decimal 2514425
Binary 1001100101110111111001 (22 bits)
Octal 0o11456771
Hexadecimal 0x265DF9

Divisor Catalog (12)

1 5 25 43 215 1,075 2,339 11,695 58,475 100,577 502,885 2,514,425

Collatz Trajectory (174 steps to reach 1)

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

2,514,425 7,543,276 3,771,638 1,885,819 5,657,458 2,828,729 8,486,188 4,243,094 2,121,547 6,364,642 3,182,321 9,546,964 4,773,482 2,386,741 7,160,224 3,580,112 1,790,056 895,028 447,514 223,757 671,272 335,636 167,818 83,909 251,728 125,864 62,932 31,466 15,733 47,200 23,600 11,800 5,900 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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