7,964,272

2⁴ × 31 × 16057

7,964,272 factors as 2^4 × 31 × 16057. Its 20 positive divisors give a proper-divisor sum of 7,965,264, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 16057

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,929,536

Proper Divisor Sum 7,965,264

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7964263 ← → #7964273

Radix Representation

Decimal	7964272
Binary	11110011000011001110000 (23 bits)
Octal	0o36303160
Hexadecimal	0x798670

Divisor Catalog (20)

Collatz Trajectory (93 steps to reach 1)

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

7,964,272 3,982,136 1,991,068 995,534 497,767 1,493,302 746,651 2,239,954 1,119,977 3,359,932 1,679,966 839,983 2,519,950 1,259,975 3,779,926 1,889,963 5,669,890 2,834,945 8,504,836 4,252,418 2,126,209 6,378,628 3,189,314 1,594,657 4,783,972 2,391,986 1,195,993 3,587,980 1,793,990 896,995 2,690,986 1,345,493 4,036,480 2,018,240 1,009,120 504,560 252,280 126,140 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516

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