7,240,028

2² × 17² × 6263

7,240,028 has the prime decomposition 2^2 × 17^2 × 6263. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 6263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,461,336

Proper Divisor Sum 6,221,308

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7240001 ← → #7240031

Radix Representation

Decimal	7240028
Binary	11011100111100101011100 (23 bits)
Octal	0o33474534
Hexadecimal	0x6E795C

Divisor Catalog (18)

1 2 4 17 34 68 289 578 1,156 6,263 12,526 25,052 106,471 212,942 425,884 1,810,007 3,620,014 7,240,028

Collatz Trajectory (116 steps to reach 1)

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

7,240,028 3,620,014 1,810,007 5,430,022 2,715,011 8,145,034 4,072,517 12,217,552 6,108,776 3,054,388 1,527,194 763,597 2,290,792 1,145,396 572,698 286,349 859,048 429,524 214,762 107,381 322,144 161,072 80,536 40,268 20,134 10,067 30,202 15,101 45,304 22,652 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276

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