λ
Prime Ledger

7,072,332

22 × 3 × 19 × 31019
Abundant Even Composite

7,072,332 has the prime decomposition 2^2 × 3 × 19 × 31019. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 31019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,371,200
Proper Divisor Sum 10,298,868
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7072321 ← → #7072337

Radix Representation

Decimal 7072332
Binary 11010111110101001001100 (23 bits)
Octal 0o32765114
Hexadecimal 0x6BEA4C

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 31,019 62,038 93,057 124,076 186,114 372,228 589,361 1,178,722 1,768,083 2,357,444 3,536,166 7,072,332

Collatz Trajectory (129 steps to reach 1)

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

7,072,332 3,536,166 1,768,083 5,304,250 2,652,125 7,956,376 3,978,188 1,989,094 994,547 2,983,642 1,491,821 4,475,464 2,237,732 1,118,866 559,433 1,678,300 839,150 419,575 1,258,726 629,363 1,888,090 944,045 2,832,136 1,416,068 708,034 354,017 1,062,052 531,026 265,513 796,540 398,270 199,135 597,406 298,703 896,110 448,055 1,344,166 672,083 2,016,250 1,008,125 3,024,376 1,512,188 756,094 378,047 1,134,142 567,071 1,701,214 850,607 2,551,822 1,275,911 3,827,734 1,913,867 5,741,602 2,870,801 8,612,404 4,306,202 2,153,101 6,459,304 3,229,652 1,614,826

More profiles

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