7,292,448

2⁵ × 3² × 25321

7,292,448 factors as 2^5 × 3^2 × 25321. Its 36 positive divisors give a proper-divisor sum of 13,446,270, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 25321

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,738,718

Proper Divisor Sum 13,446,270

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7292431 ← → #7292479

Radix Representation

Decimal	7292448
Binary	11011110100011000100000 (23 bits)
Octal	0o33643040
Hexadecimal	0x6F4620

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 25,321 50,642 75,963 101,284 151,926 202,568 227,889 303,852 405,136 455,778 607,704 810,272 911,556 1,215,408 1,823,112 2,430,816 3,646,224 7,292,448

Collatz Trajectory (85 steps to reach 1)

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

7,292,448 3,646,224 1,823,112 911,556 455,778 227,889 683,668 341,834 170,917 512,752 256,376 128,188 64,094 32,047 96,142 48,071 144,214 72,107 216,322 108,161 324,484 162,242 81,121 243,364 121,682 60,841 182,524 91,262 45,631 136,894 68,447 205,342 102,671 308,014 154,007 462,022 231,011 693,034 346,517 1,039,552 519,776 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285

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