3,980,388

2² × 3 × 409 × 811

3,980,388 factors as 2^2 × 3 × 409 × 811. Its 24 positive divisors give a proper-divisor sum of 5,341,372, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 409 × 811

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,321,760

Proper Divisor Sum 5,341,372

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3980387 ← → #3980399

Radix Representation

Decimal	3980388
Binary	1111001011110001100100 (22 bits)
Octal	0o17136144
Hexadecimal	0x3CBC64

Divisor Catalog (24)

Collatz Trajectory (216 steps to reach 1)

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

3,980,388 1,990,194 995,097 2,985,292 1,492,646 746,323 2,238,970 1,119,485 3,358,456 1,679,228 839,614 419,807 1,259,422 629,711 1,889,134 944,567 2,833,702 1,416,851 4,250,554 2,125,277 6,375,832 3,187,916 1,593,958 796,979 2,390,938 1,195,469 3,586,408 1,793,204 896,602 448,301 1,344,904 672,452 336,226 168,113 504,340 252,170 126,085 378,256 189,128 94,564 47,282 23,641 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252

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