λ
Prime Ledger

7,794,231

3 × 271 × 9587
Deficient Odd Composite

7,794,231 has the prime decomposition 3 × 271 × 9587. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 271 × 9587
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,431,744
Proper Divisor Sum 2,637,513
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7794229 ← → #7794239

Radix Representation

Decimal 7794231
Binary 11101101110111000110111 (23 bits)
Octal 0o35567067
Hexadecimal 0x76EE37

Divisor Catalog (8)

1 3 271 813 9,587 28,761 2,598,077 7,794,231

Collatz Trajectory (230 steps to reach 1)

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

7,794,231 23,382,694 11,691,347 35,074,042 17,537,021 52,611,064 26,305,532 13,152,766 6,576,383 19,729,150 9,864,575 29,593,726 14,796,863 44,390,590 22,195,295 66,585,886 33,292,943 99,878,830 49,939,415 149,818,246 74,909,123 224,727,370 112,363,685 337,091,056 168,545,528 84,272,764 42,136,382 21,068,191 63,204,574 31,602,287 94,806,862 47,403,431 142,210,294 71,105,147 213,315,442 106,657,721 319,973,164 159,986,582 79,993,291 239,979,874 119,989,937 359,969,812 179,984,906 89,992,453 269,977,360 134,988,680 67,494,340 33,747,170 16,873,585 50,620,756 25,310,378 12,655,189 37,965,568 18,982,784 9,491,392 4,745,696 2,372,848 1,186,424 593,212 296,606

More profiles

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