λ
Harmonic Matrix

6,301,375

53 × 50411
Deficient Odd Composite

6,301,375 has digital root 7. The neighboring primes are 6301363 and 6301391; its proper-divisor sum differs from the starting integer by -4,738,478.

Prime Factor Structure

Factorization String 5^3 × 50411
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,864,272
Proper Divisor Sum 1,562,897
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6301363 ← → #6301391

Radix Representation

Decimal 6301375
Binary 11000000010011010111111 (23 bits)
Octal 0o30023277
Hexadecimal 0x6026BF

Divisor Catalog (8)

1 5 25 125 50,411 252,055 1,260,275 6,301,375

Collatz Trajectory (227 steps to reach 1)

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

6,301,375 18,904,126 9,452,063 28,356,190 14,178,095 42,534,286 21,267,143 63,801,430 31,900,715 95,702,146 47,851,073 143,553,220 71,776,610 35,888,305 107,664,916 53,832,458 26,916,229 80,748,688 40,374,344 20,187,172 10,093,586 5,046,793 15,140,380 7,570,190 3,785,095 11,355,286 5,677,643 17,032,930 8,516,465 25,549,396 12,774,698 6,387,349 19,162,048 9,581,024 4,790,512 2,395,256 1,197,628 598,814 299,407 898,222 449,111 1,347,334 673,667 2,021,002 1,010,501 3,031,504 1,515,752 757,876 378,938 189,469 568,408 284,204 142,102 71,051 213,154 106,577 319,732 159,866 79,933 239,800

More profiles

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