λ
Prime Ledger

2,503,107

32 × 278123
Deficient Odd Composite

2,503,107 has the prime decomposition 3^2 × 278123. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 278123
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,615,612
Proper Divisor Sum 1,112,505
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2503103 ← → #2503121

Radix Representation

Decimal 2503107
Binary 1001100011000111000011 (22 bits)
Octal 0o11430703
Hexadecimal 0x2631C3

Divisor Catalog (6)

1 3 9 278,123 834,369 2,503,107

Collatz Trajectory (135 steps to reach 1)

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

2,503,107 7,509,322 3,754,661 11,263,984 5,631,992 2,815,996 1,407,998 703,999 2,111,998 1,055,999 3,167,998 1,583,999 4,751,998 2,375,999 7,127,998 3,563,999 10,691,998 5,345,999 16,037,998 8,018,999 24,056,998 12,028,499 36,085,498 18,042,749 54,128,248 27,064,124 13,532,062 6,766,031 20,298,094 10,149,047 30,447,142 15,223,571 45,670,714 22,835,357 68,506,072 34,253,036 17,126,518 8,563,259 25,689,778 12,844,889 38,534,668 19,267,334 9,633,667 28,901,002 14,450,501 43,351,504 21,675,752 10,837,876 5,418,938 2,709,469 8,128,408 4,064,204 2,032,102 1,016,051 3,048,154 1,524,077 4,572,232 2,286,116 1,143,058 571,529

More profiles

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