λ
Harmonic Matrix

5,048,399

5048399
Deficient Odd Prime

5,048,399 has digital root 2. The neighboring primes are 5048387 and 5048401; its proper-divisor sum differs from the starting integer by -5,048,398.

Prime Factor Structure

Factorization String 5048399
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,048,400
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5048387 ← → #5048401

Radix Representation

Decimal 5048399
Binary 10011010000100001001111 (23 bits)
Octal 0o23204117
Hexadecimal 0x4D084F

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

5,048,399 15,145,198 7,572,599 22,717,798 11,358,899 34,076,698 17,038,349 51,115,048 25,557,524 12,778,762 6,389,381 19,168,144 9,584,072 4,792,036 2,396,018 1,198,009 3,594,028 1,797,014 898,507 2,695,522 1,347,761 4,043,284 2,021,642 1,010,821 3,032,464 1,516,232 758,116 379,058 189,529 568,588 284,294 142,147 426,442 213,221 639,664 319,832 159,916 79,958 39,979 119,938 59,969 179,908 89,954 44,977 134,932 67,466 33,733 101,200 50,600 25,300 12,650 6,325 18,976 9,488 4,744 2,372 1,186 593 1,780 890

More profiles

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