7,897,041

3³ × 292483

Starting at 7,897,041, the Collatz iteration reaches 1 after 173 steps. The first transition is 23691124; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 292483

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,699,360

Proper Divisor Sum 3,802,319

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7897037 ← → #7897049

Radix Representation

Decimal	7897041
Binary	11110000111111111010001 (23 bits)
Octal	0o36077721
Hexadecimal	0x787FD1

Divisor Catalog (8)

1 3 9 27 292,483 877,449 2,632,347 7,897,041

Collatz Trajectory (173 steps to reach 1)

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

7,897,041 23,691,124 11,845,562 5,922,781 17,768,344 8,884,172 4,442,086 2,221,043 6,663,130 3,331,565 9,994,696 4,997,348 2,498,674 1,249,337 3,748,012 1,874,006 937,003 2,811,010 1,405,505 4,216,516 2,108,258 1,054,129 3,162,388 1,581,194 790,597 2,371,792 1,185,896 592,948 296,474 148,237 444,712 222,356 111,178 55,589 166,768 83,384 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098

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