7,152,820

2² × 5 × 101 × 3541

7,152,820 factors as 2^2 × 5 × 101 × 3541. Its 24 positive divisors give a proper-divisor sum of 8,021,108, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 3541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,173,928

Proper Divisor Sum 8,021,108

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7152791 ← → #7152823

Radix Representation

Decimal	7152820
Binary	11011010010010010110100 (23 bits)
Octal	0o33222264
Hexadecimal	0x6D24B4

Divisor Catalog (24)

Collatz Trajectory (98 steps to reach 1)

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

7,152,820 3,576,410 1,788,205 5,364,616 2,682,308 1,341,154 670,577 2,011,732 1,005,866 502,933 1,508,800 754,400 377,200 188,600 94,300 47,150 23,575 70,726 35,363 106,090 53,045 159,136 79,568 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211

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