7,972,004

2² × 163 × 12227

7,972,004 factors as 2^2 × 163 × 12227. Its 12 positive divisors give a proper-divisor sum of 6,065,740, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 163 × 12227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,037,744

Proper Divisor Sum 6,065,740

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7971973 ← → #7972009

Radix Representation

Decimal	7972004
Binary	11110011010010010100100 (23 bits)
Octal	0o36322244
Hexadecimal	0x79A4A4

Divisor Catalog (12)

1 2 4 163 326 652 12,227 24,454 48,908 1,993,001 3,986,002 7,972,004

Collatz Trajectory (217 steps to reach 1)

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

7,972,004 3,986,002 1,993,001 5,979,004 2,989,502 1,494,751 4,484,254 2,242,127 6,726,382 3,363,191 10,089,574 5,044,787 15,134,362 7,567,181 22,701,544 11,350,772 5,675,386 2,837,693 8,513,080 4,256,540 2,128,270 1,064,135 3,192,406 1,596,203 4,788,610 2,394,305 7,182,916 3,591,458 1,795,729 5,387,188 2,693,594 1,346,797 4,040,392 2,020,196 1,010,098 505,049 1,515,148 757,574 378,787 1,136,362 568,181 1,704,544 852,272 426,136 213,068 106,534 53,267 159,802 79,901 239,704 119,852 59,926 29,963 89,890 44,945 134,836 67,418 33,709 101,128 50,564

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