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Atlas › Integer Profiles › Node 3,901,980

3,901,980

22 × 3 × 5 × 65033
Abundant Even Composite

3,901,980 factors as 2^2 × 3 × 5 × 65033. Its 24 positive divisors give a proper-divisor sum of 7,023,732, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 65033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,925,712
Proper Divisor Sum 7,023,732
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3901967 ← → #3901981

Radix Representation

Decimal 3901980
Binary 1110111000101000011100 (22 bits)
Octal 0o16705034
Hexadecimal 0x3B8A1C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 65,033 130,066 195,099 260,132 325,165 390,198 650,330 780,396 975,495 1,300,660 1,950,990 3,901,980

Collatz Trajectory (185 steps to reach 1)

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

3,901,980 1,950,990 975,495 2,926,486 1,463,243 4,389,730 2,194,865 6,584,596 3,292,298 1,646,149 4,938,448 2,469,224 1,234,612 617,306 308,653 925,960 462,980 231,490 115,745 347,236 173,618 86,809 260,428 130,214 65,107 195,322 97,661 292,984 146,492 73,246 36,623 109,870 54,935 164,806 82,403 247,210 123,605 370,816 185,408 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130

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