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Atlas › Integer Profiles › Node 4,135,096

4,135,096

23 × 7 × 41 × 1801
Abundant Even Composite

4,135,096 factors as 2^3 × 7 × 41 × 1801. Its 32 positive divisors give a proper-divisor sum of 4,946,984, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 41 × 1801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,082,080
Proper Divisor Sum 4,946,984
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4135093 ← → #4135123

Radix Representation

Decimal 4135096
Binary 1111110001100010111000 (22 bits)
Octal 0o17614270
Hexadecimal 0x3F18B8

Divisor Catalog (32)

1 2 4 7 8 14 28 41 56 82 164 287 328 574 1,148 1,801 2,296 3,602 7,204 12,607 14,408 25,214 50,428 73,841 100,856 147,682 295,364 516,887 590,728 1,033,774 2,067,548 4,135,096

Collatz Trajectory (167 steps to reach 1)

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

4,135,096 2,067,548 1,033,774 516,887 1,550,662 775,331 2,325,994 1,162,997 3,488,992 1,744,496 872,248 436,124 218,062 109,031 327,094 163,547 490,642 245,321 735,964 367,982 183,991 551,974 275,987 827,962 413,981 1,241,944 620,972 310,486 155,243 465,730 232,865 698,596 349,298 174,649 523,948 261,974 130,987 392,962 196,481 589,444 294,722 147,361 442,084 221,042 110,521 331,564 165,782 82,891 248,674 124,337 373,012 186,506 93,253 279,760 139,880 69,940 34,970 17,485 52,456 26,228

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