λ
Prime Ledger

7,217,992

23 × 139 × 6491
Deficient Even Composite

7,217,992 has the prime decomposition 2^3 × 139 × 6491. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 139 × 6491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,633,200
Proper Divisor Sum 6,415,208
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7217963 ← → #7218019

Radix Representation

Decimal 7217992
Binary 11011100010001101001000 (23 bits)
Octal 0o33421510
Hexadecimal 0x6E2348

Divisor Catalog (16)

1 2 4 8 139 278 556 1,112 6,491 12,982 25,964 51,928 902,249 1,804,498 3,608,996 7,217,992

Collatz Trajectory (178 steps to reach 1)

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

7,217,992 3,608,996 1,804,498 902,249 2,706,748 1,353,374 676,687 2,030,062 1,015,031 3,045,094 1,522,547 4,567,642 2,283,821 6,851,464 3,425,732 1,712,866 856,433 2,569,300 1,284,650 642,325 1,926,976 963,488 481,744 240,872 120,436 60,218 30,109 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049 183,148 91,574 45,787

More profiles

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