λ
Harmonic Matrix

5,108,717

5108717
Deficient Odd Prime

5,108,717 has digital root 2. The neighboring primes are 5108713 and 5108731; its proper-divisor sum differs from the starting integer by -5,108,716.

Prime Factor Structure

Factorization String 5108717
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,108,718
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5108713 ← → #5108731

Radix Representation

Decimal 5108717
Binary 10011011111001111101101 (23 bits)
Octal 0o23371755
Hexadecimal 0x4DF3ED

Divisor Catalog (2)

Collatz Trajectory (126 steps to reach 1)

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

5,108,717 15,326,152 7,663,076 3,831,538 1,915,769 5,747,308 2,873,654 1,436,827 4,310,482 2,155,241 6,465,724 3,232,862 1,616,431 4,849,294 2,424,647 7,273,942 3,636,971 10,910,914 5,455,457 16,366,372 8,183,186 4,091,593 12,274,780 6,137,390 3,068,695 9,206,086 4,603,043 13,809,130 6,904,565 20,713,696 10,356,848 5,178,424 2,589,212 1,294,606 647,303 1,941,910 970,955 2,912,866 1,456,433 4,369,300 2,184,650 1,092,325 3,276,976 1,638,488 819,244 409,622 204,811 614,434 307,217 921,652 460,826 230,413 691,240 345,620 172,810 86,405 259,216 129,608 64,804 32,402

More profiles

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