λ
Prime Ledger

5,155,241

72 × 13 × 8093
Deficient Odd Composite

5,155,241 has the prime decomposition 7^2 × 13 × 8093. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 13 × 8093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,459,012
Proper Divisor Sum 1,303,771
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5155237 ← → #5155261

Radix Representation

Decimal 5155241
Binary 10011101010100110101001 (23 bits)
Octal 0o23524651
Hexadecimal 0x4EA9A9

Divisor Catalog (12)

1 7 13 49 91 637 8,093 56,651 105,209 396,557 736,463 5,155,241

Collatz Trajectory (157 steps to reach 1)

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

5,155,241 15,465,724 7,732,862 3,866,431 11,599,294 5,799,647 17,398,942 8,699,471 26,098,414 13,049,207 39,147,622 19,573,811 58,721,434 29,360,717 88,082,152 44,041,076 22,020,538 11,010,269 33,030,808 16,515,404 8,257,702 4,128,851 12,386,554 6,193,277 18,579,832 9,289,916 4,644,958 2,322,479 6,967,438 3,483,719 10,451,158 5,225,579 15,676,738 7,838,369 23,515,108 11,757,554 5,878,777 17,636,332 8,818,166 4,409,083 13,227,250 6,613,625 19,840,876 9,920,438 4,960,219 14,880,658 7,440,329 22,320,988 11,160,494 5,580,247 16,740,742 8,370,371 25,111,114 12,555,557 37,666,672 18,833,336 9,416,668 4,708,334 2,354,167 7,062,502

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