7,350,580

2² × 5 × 467 × 787

Starting at 7,350,580, the Collatz iteration reaches 1 after 85 steps. The first transition is 3675290; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 467 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,488,928

Proper Divisor Sum 8,138,348

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7350571 ← → #7350611

Radix Representation

Decimal	7350580
Binary	11100000010100100110100 (23 bits)
Octal	0o34024464
Hexadecimal	0x702934

Divisor Catalog (24)

1 2 4 5 10 20 467 787 934 1,574 1,868 2,335 3,148 3,935 4,670 7,870 9,340 15,740 367,529 735,058 1,470,116 1,837,645 3,675,290 7,350,580

Collatz Trajectory (85 steps to reach 1)

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

7,350,580 3,675,290 1,837,645 5,512,936 2,756,468 1,378,234 689,117 2,067,352 1,033,676 516,838 258,419 775,258 387,629 1,162,888 581,444 290,722 145,361 436,084 218,042 109,021 327,064 163,532 81,766 40,883 122,650 61,325 183,976 91,988 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300

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