7,306,340

2² × 5 × 101 × 3617

7,306,340 factors as 2^2 × 5 × 101 × 3617. Its 24 positive divisors give a proper-divisor sum of 8,193,172, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 3617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,499,512

Proper Divisor Sum 8,193,172

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7306339 ← → #7306363

Radix Representation

Decimal	7306340
Binary	11011110111110001100100 (23 bits)
Octal	0o33676144
Hexadecimal	0x6F7C64

Divisor Catalog (24)

Collatz Trajectory (204 steps to reach 1)

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

7,306,340 3,653,170 1,826,585 5,479,756 2,739,878 1,369,939 4,109,818 2,054,909 6,164,728 3,082,364 1,541,182 770,591 2,311,774 1,155,887 3,467,662 1,733,831 5,201,494 2,600,747 7,802,242 3,901,121 11,703,364 5,851,682 2,925,841 8,777,524 4,388,762 2,194,381 6,583,144 3,291,572 1,645,786 822,893 2,468,680 1,234,340 617,170 308,585 925,756 462,878 231,439 694,318 347,159 1,041,478 520,739 1,562,218 781,109 2,343,328 1,171,664 585,832 292,916 146,458 73,229 219,688 109,844 54,922 27,461 82,384 41,192 20,596 10,298 5,149 15,448 7,724

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