λ
Prime Ledger

7,476,332

22 × 31 × 60293
Deficient Even Composite

7,476,332 has the prime decomposition 2^2 × 31 × 60293. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 60293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,505,856
Proper Divisor Sum 6,029,524
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7476319 ← → #7476341

Radix Representation

Decimal 7476332
Binary 11100100001010001101100 (23 bits)
Octal 0o34412154
Hexadecimal 0x72146C

Divisor Catalog (12)

1 2 4 31 62 124 60,293 120,586 241,172 1,869,083 3,738,166 7,476,332

Collatz Trajectory (142 steps to reach 1)

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

7,476,332 3,738,166 1,869,083 5,607,250 2,803,625 8,410,876 4,205,438 2,102,719 6,308,158 3,154,079 9,462,238 4,731,119 14,193,358 7,096,679 21,290,038 10,645,019 31,935,058 15,967,529 47,902,588 23,951,294 11,975,647 35,926,942 17,963,471 53,890,414 26,945,207 80,835,622 40,417,811 121,253,434 60,626,717 181,880,152 90,940,076 45,470,038 22,735,019 68,205,058 34,102,529 102,307,588 51,153,794 25,576,897 76,730,692 38,365,346 19,182,673 57,548,020 28,774,010 14,387,005 43,161,016 21,580,508 10,790,254 5,395,127 16,185,382 8,092,691 24,278,074 12,139,037 36,417,112 18,208,556 9,104,278 4,552,139 13,656,418 6,828,209 20,484,628 10,242,314

More profiles

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