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Atlas › Integer Profiles › Node 3,956,828

3,956,828

22 × 23 × 41 × 1049
Deficient Even Composite

3,956,828 factors as 2^2 × 23 × 41 × 1049. Its 24 positive divisors give a proper-divisor sum of 3,451,972, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 41 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,408,800
Proper Divisor Sum 3,451,972
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3956803 ← → #3956831

Radix Representation

Decimal 3956828
Binary 1111000110000001011100 (22 bits)
Octal 0o17060134
Hexadecimal 0x3C605C

Divisor Catalog (24)

1 2 4 23 41 46 82 92 164 943 1,049 1,886 2,098 3,772 4,196 24,127 43,009 48,254 86,018 96,508 172,036 989,207 1,978,414 3,956,828

Collatz Trajectory (61 steps to reach 1)

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

3,956,828 1,978,414 989,207 2,967,622 1,483,811 4,451,434 2,225,717 6,677,152 3,338,576 1,669,288 834,644 417,322 208,661 625,984 312,992 156,496 78,248 39,124 19,562 9,781 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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