7,023,164

2² × 797 × 2203

Starting at 7,023,164, the Collatz iteration reaches 1 after 178 steps. The first transition is 3511582; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 797 × 2203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,311,544

Proper Divisor Sum 5,288,380

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7023157 ← → #7023169

Radix Representation

Decimal	7023164
Binary	11010110010101000111100 (23 bits)
Octal	0o32625074
Hexadecimal	0x6B2A3C

Divisor Catalog (12)

1 2 4 797 1,594 2,203 3,188 4,406 8,812 1,755,791 3,511,582 7,023,164

Collatz Trajectory (178 steps to reach 1)

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

7,023,164 3,511,582 1,755,791 5,267,374 2,633,687 7,901,062 3,950,531 11,851,594 5,925,797 17,777,392 8,888,696 4,444,348 2,222,174 1,111,087 3,333,262 1,666,631 4,999,894 2,499,947 7,499,842 3,749,921 11,249,764 5,624,882 2,812,441 8,437,324 4,218,662 2,109,331 6,327,994 3,163,997 9,491,992 4,745,996 2,372,998 1,186,499 3,559,498 1,779,749 5,339,248 2,669,624 1,334,812 667,406 333,703 1,001,110 500,555 1,501,666 750,833 2,252,500 1,126,250 563,125 1,689,376 844,688 422,344 211,172 105,586 52,793 158,380 79,190 39,595 118,786 59,393 178,180 89,090 44,545

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