7,440,396

2² × 3 × 620033

7,440,396 factors as 2^2 × 3 × 620033. Its 12 positive divisors give a proper-divisor sum of 9,920,556, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 620033

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,360,952

Proper Divisor Sum 9,920,556

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7440383 ← → #7440397

Radix Representation

Decimal	7440396
Binary	11100011000100000001100 (23 bits)
Octal	0o34304014
Hexadecimal	0x71880C

Divisor Catalog (12)

1 2 3 4 6 12 620,033 1,240,066 1,860,099 2,480,132 3,720,198 7,440,396

Collatz Trajectory (173 steps to reach 1)

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

7,440,396 3,720,198 1,860,099 5,580,298 2,790,149 8,370,448 4,185,224 2,092,612 1,046,306 523,153 1,569,460 784,730 392,365 1,177,096 588,548 294,274 147,137 441,412 220,706 110,353 331,060 165,530 82,765 248,296 124,148 62,074 31,037 93,112 46,556 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220

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