7,201,532

2² × 13 × 19 × 37 × 197

7,201,532 factors as 2^2 × 13 × 19 × 37 × 197. Its 48 positive divisors give a proper-divisor sum of 7,545,508, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 37 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,747,040

Proper Divisor Sum 7,545,508

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7201531 ← → #7201543

Radix Representation

Decimal	7201532
Binary	11011011110001011111100 (23 bits)
Octal	0o33361374
Hexadecimal	0x6DE2FC

Divisor Catalog (48)

Collatz Trajectory (253 steps to reach 1)

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

7,201,532 3,600,766 1,800,383 5,401,150 2,700,575 8,101,726 4,050,863 12,152,590 6,076,295 18,228,886 9,114,443 27,343,330 13,671,665 41,014,996 20,507,498 10,253,749 30,761,248 15,380,624 7,690,312 3,845,156 1,922,578 961,289 2,883,868 1,441,934 720,967 2,162,902 1,081,451 3,244,354 1,622,177 4,866,532 2,433,266 1,216,633 3,649,900 1,824,950 912,475 2,737,426 1,368,713 4,106,140 2,053,070 1,026,535 3,079,606 1,539,803 4,619,410 2,309,705 6,929,116 3,464,558 1,732,279 5,196,838 2,598,419 7,795,258 3,897,629 11,692,888 5,846,444 2,923,222 1,461,611 4,384,834 2,192,417 6,577,252 3,288,626 1,644,313

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