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3,980,028

22 × 3 × 13 × 31 × 823
Abundant Even Composite

3,980,028 factors as 2^2 × 3 × 13 × 31 × 823. Its 48 positive divisors give a proper-divisor sum of 6,356,228, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 31 × 823
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,336,256
Proper Divisor Sum 6,356,228
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3980027 ← → #3980051

Radix Representation

Decimal 3980028
Binary 1111001011101011111100 (22 bits)
Octal 0o17135374
Hexadecimal 0x3CBAFC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 823 1,209 1,612 1,646 2,418 2,469 3,292 4,836 4,938 9,876 10,699 21,398 25,513 32,097 42,796 51,026 64,194 76,539 102,052 128,388 153,078 306,156 331,669 663,338 995,007 1,326,676 1,990,014 3,980,028

Collatz Trajectory (229 steps to reach 1)

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

3,980,028 1,990,014 995,007 2,985,022 1,492,511 4,477,534 2,238,767 6,716,302 3,358,151 10,074,454 5,037,227 15,111,682 7,555,841 22,667,524 11,333,762 5,666,881 17,000,644 8,500,322 4,250,161 12,750,484 6,375,242 3,187,621 9,562,864 4,781,432 2,390,716 1,195,358 597,679 1,793,038 896,519 2,689,558 1,344,779 4,034,338 2,017,169 6,051,508 3,025,754 1,512,877 4,538,632 2,269,316 1,134,658 567,329 1,701,988 850,994 425,497 1,276,492 638,246 319,123 957,370 478,685 1,436,056 718,028 359,014 179,507 538,522 269,261 807,784 403,892 201,946 100,973 302,920 151,460

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