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Atlas › Integer Profiles › Node 1,956,196

1,956,196

22 × 11 × 23 × 1933
Deficient Even Composite

1,956,196 factors as 2^2 × 11 × 23 × 1933. Its 24 positive divisors give a proper-divisor sum of 1,942,748, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 1933
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,898,944
Proper Divisor Sum 1,942,748
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1956179 ← → #1956203

Radix Representation

Decimal 1956196
Binary 111011101100101100100 (21 bits)
Octal 0o7354544
Hexadecimal 0x1DD964

Divisor Catalog (24)

1 2 4 11 22 23 44 46 92 253 506 1,012 1,933 3,866 7,732 21,263 42,526 44,459 85,052 88,918 177,836 489,049 978,098 1,956,196

Collatz Trajectory (91 steps to reach 1)

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

1,956,196 978,098 489,049 1,467,148 733,574 366,787 1,100,362 550,181 1,650,544 825,272 412,636 206,318 103,159 309,478 154,739 464,218 232,109 696,328 348,164 174,082 87,041 261,124 130,562 65,281 195,844 97,922 48,961 146,884 73,442 36,721 110,164 55,082 27,541 82,624 41,312 20,656 10,328 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346

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