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7,204,992

27 × 3 × 29 × 647
Abundant Even Composite

7,204,992 factors as 2^7 × 3 × 29 × 647. Its 64 positive divisors give a proper-divisor sum of 12,623,808, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 29 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,828,800
Proper Divisor Sum 12,623,808
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7204987 ← → #7204997

Radix Representation

Decimal 7204992
Binary 11011011111000010000000 (23 bits)
Octal 0o33370200
Hexadecimal 0x6DF080

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 647 696 928 1,294 1,392 1,856 1,941 2,588 2,784 3,712 3,882 5,176 5,568 7,764 10,352 11,136 15,528 18,763 20,704 31,056 37,526 41,408 56,289 62,112 75,052 82,816 112,578 124,224 150,104 225,156 248,448 300,208 450,312 600,416 900,624 1,200,832

Collatz Trajectory (116 steps to reach 1)

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

7,204,992 3,602,496 1,801,248 900,624 450,312 225,156 112,578 56,289 168,868 84,434 42,217 126,652 63,326 31,663 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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