λ
Prime Ledger

5,108,525

52 × 233 × 877
Deficient Odd Composite

5,108,525 has the prime decomposition 5^2 × 233 × 877. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 233 × 877
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,369,012
Proper Divisor Sum 1,260,487
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5108497 ← → #5108533

Radix Representation

Decimal 5108525
Binary 10011011111001100101101 (23 bits)
Octal 0o23371455
Hexadecimal 0x4DF32D

Divisor Catalog (12)

1 5 25 233 877 1,165 4,385 5,825 21,925 204,341 1,021,705 5,108,525

Collatz Trajectory (219 steps to reach 1)

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

5,108,525 15,325,576 7,662,788 3,831,394 1,915,697 5,747,092 2,873,546 1,436,773 4,310,320 2,155,160 1,077,580 538,790 269,395 808,186 404,093 1,212,280 606,140 303,070 151,535 454,606 227,303 681,910 340,955 1,022,866 511,433 1,534,300 767,150 383,575 1,150,726 575,363 1,726,090 863,045 2,589,136 1,294,568 647,284 323,642 161,821 485,464 242,732 121,366 60,683 182,050 91,025 273,076 136,538 68,269 204,808 102,404 51,202 25,601 76,804 38,402 19,201 57,604 28,802 14,401 43,204 21,602 10,801 32,404

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