8,270,961

3 × 23 × 119869

Starting at 8,270,961, the Collatz iteration reaches 1 after 80 steps. The first transition is 24812884; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 119869

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,507,520

Proper Divisor Sum 3,236,559

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8270953 ← → #8270963

Radix Representation

Decimal	8270961
Binary	11111100011010001110001 (23 bits)
Octal	0o37432161
Hexadecimal	0x7E3471

Divisor Catalog (8)

1 3 23 69 119,869 359,607 2,756,987 8,270,961

Collatz Trajectory (80 steps to reach 1)

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

8,270,961 24,812,884 12,406,442 6,203,221 18,609,664 9,304,832 4,652,416 2,326,208 1,163,104 581,552 290,776 145,388 72,694 36,347 109,042 54,521 163,564 81,782 40,891 122,674 61,337 184,012 92,006 46,003 138,010 69,005 207,016 103,508 51,754 25,877 77,632 38,816 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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