λ
Harmonic Matrix

5,257,024

26 × 82141
Deficient Even Composite

5,257,024 has digital root 7. The neighboring primes are 5257013 and 5257037; its proper-divisor sum differs from the starting integer by -82,014.

Prime Factor Structure

Factorization String 2^6 × 82141
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 10,432,034
Proper Divisor Sum 5,175,010
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5257013 ← → #5257037

Radix Representation

Decimal 5257024
Binary 10100000011011101000000 (23 bits)
Octal 0o24033500
Hexadecimal 0x503740

Divisor Catalog (14)

1 2 4 8 16 32 64 82,141 164,282 328,564 657,128 1,314,256 2,628,512 5,257,024

Collatz Trajectory (157 steps to reach 1)

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

5,257,024 2,628,512 1,314,256 657,128 328,564 164,282 82,141 246,424 123,212 61,606 30,803 92,410 46,205 138,616 69,308 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161

More profiles

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