7,390,291

17 × 23 × 41 × 461

Starting at 7,390,291, the Collatz iteration reaches 1 after 328 steps. The first transition is 22170874; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 17 × 23 × 41 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,382,528

Proper Divisor Sum 992,237

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7390289 ← → #7390321

Radix Representation

Decimal	7390291
Binary	11100001100010001010011 (23 bits)
Octal	0o34142123
Hexadecimal	0x70C453

Divisor Catalog (16)

1 17 23 41 391 461 697 943 7,837 10,603 16,031 18,901 180,251 321,317 434,723 7,390,291

Collatz Trajectory (328 steps to reach 1)

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

7,390,291 22,170,874 11,085,437 33,256,312 16,628,156 8,314,078 4,157,039 12,471,118 6,235,559 18,706,678 9,353,339 28,060,018 14,030,009 42,090,028 21,045,014 10,522,507 31,567,522 15,783,761 47,351,284 23,675,642 11,837,821 35,513,464 17,756,732 8,878,366 4,439,183 13,317,550 6,658,775 19,976,326 9,988,163 29,964,490 14,982,245 44,946,736 22,473,368 11,236,684 5,618,342 2,809,171 8,427,514 4,213,757 12,641,272 6,320,636 3,160,318 1,580,159 4,740,478 2,370,239 7,110,718 3,555,359 10,666,078 5,333,039 15,999,118 7,999,559 23,998,678 11,999,339 35,998,018 17,999,009 53,997,028 26,998,514 13,499,257 40,497,772 20,248,886 10,124,443

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