7,325,504

2⁶ × 17 × 6733

7,325,504 factors as 2^6 × 17 × 6733. Its 28 positive divisors give a proper-divisor sum of 8,068,420, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 6733

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 15,393,924

Proper Divisor Sum 8,068,420

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7325503 ← → #7325509

Radix Representation

Decimal	7325504
Binary	11011111100011101000000 (23 bits)
Octal	0o33743500
Hexadecimal	0x6FC740

Divisor Catalog (28)

Collatz Trajectory (59 steps to reach 1)

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

7,325,504 3,662,752 1,831,376 915,688 457,844 228,922 114,461 343,384 171,692 85,846 42,923 128,770 64,385 193,156 96,578 48,289 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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