λ
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Atlas › Integer Profiles › Node 3,980,936

3,980,936

23 × 41 × 53 × 229
Deficient Even Composite

3,980,936 factors as 2^3 × 41 × 53 × 229. Its 32 positive divisors give a proper-divisor sum of 3,843,664, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 53 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,824,600
Proper Divisor Sum 3,843,664
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3980891 ← → #3980957

Radix Representation

Decimal 3980936
Binary 1111001011111010001000 (22 bits)
Octal 0o17137210
Hexadecimal 0x3CBE88

Divisor Catalog (32)

1 2 4 8 41 53 82 106 164 212 229 328 424 458 916 1,832 2,173 4,346 8,692 9,389 12,137 17,384 18,778 24,274 37,556 48,548 75,112 97,096 497,617 995,234 1,990,468 3,980,936

Collatz Trajectory (154 steps to reach 1)

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

3,980,936 1,990,468 995,234 497,617 1,492,852 746,426 373,213 1,119,640 559,820 279,910 139,955 419,866 209,933 629,800 314,900 157,450 78,725 236,176 118,088 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522

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