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Atlas › Integer Profiles › Node 3,940,804

3,940,804

22 × 7 × 172 × 487
Abundant Even Composite

3,940,804 factors as 2^2 × 7 × 17^2 × 487. Its 36 positive divisors give a proper-divisor sum of 4,448,892, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17^2 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,389,696
Proper Divisor Sum 4,448,892
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3940801 ← → #3940823

Radix Representation

Decimal 3940804
Binary 1111000010000111000100 (22 bits)
Octal 0o17020704
Hexadecimal 0x3C21C4

Divisor Catalog (36)

1 2 4 7 14 17 28 34 68 119 238 289 476 487 578 974 1,156 1,948 2,023 3,409 4,046 6,818 8,092 8,279 13,636 16,558 33,116 57,953 115,906 140,743 231,812 281,486 562,972 985,201 1,970,402 3,940,804

Collatz Trajectory (66 steps to reach 1)

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

3,940,804 1,970,402 985,201 2,955,604 1,477,802 738,901 2,216,704 1,108,352 554,176 277,088 138,544 69,272 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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