3,973,140

2² × 3² × 5 × 22073

3,973,140 factors as 2^2 × 3^2 × 5 × 22073. Its 36 positive divisors give a proper-divisor sum of 8,079,264, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 22073

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 12,052,404

Proper Divisor Sum 8,079,264

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3973139 ← → #3973153

Radix Representation

Decimal	3973140
Binary	1111001010000000010100 (22 bits)
Octal	0o17120024
Hexadecimal	0x3CA014

Divisor Catalog (36)

Collatz Trajectory (216 steps to reach 1)

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

3,973,140 1,986,570 993,285 2,979,856 1,489,928 744,964 372,482 186,241 558,724 279,362 139,681 419,044 209,522 104,761 314,284 157,142 78,571 235,714 117,857 353,572 176,786 88,393 265,180 132,590 66,295 198,886 99,443 298,330 149,165 447,496 223,748 111,874 55,937 167,812 83,906 41,953 125,860 62,930 31,465 94,396 47,198 23,599 70,798 35,399 106,198 53,099 159,298 79,649 238,948 119,474 59,737 179,212 89,606 44,803 134,410 67,205 201,616 100,808 50,404 25,202

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