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Atlas › Integer Profiles › Node 4,134,840

4,134,840

23 × 3 × 5 × 34457
Abundant Even Composite

4,134,840 factors as 2^3 × 3 × 5 × 34457. Its 32 positive divisors give a proper-divisor sum of 8,270,040, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 34457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,404,880
Proper Divisor Sum 8,270,040
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4134829 ← → #4134847

Radix Representation

Decimal 4134840
Binary 1111110001011110111000 (22 bits)
Octal 0o17613670
Hexadecimal 0x3F17B8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34,457 68,914 103,371 137,828 172,285 206,742 275,656 344,570 413,484 516,855 689,140 826,968 1,033,710 1,378,280 2,067,420 4,134,840

Collatz Trajectory (167 steps to reach 1)

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

4,134,840 2,067,420 1,033,710 516,855 1,550,566 775,283 2,325,850 1,162,925 3,488,776 1,744,388 872,194 436,097 1,308,292 654,146 327,073 981,220 490,610 245,305 735,916 367,958 183,979 551,938 275,969 827,908 413,954 206,977 620,932 310,466 155,233 465,700 232,850 116,425 349,276 174,638 87,319 261,958 130,979 392,938 196,469 589,408 294,704 147,352 73,676 36,838 18,419 55,258 27,629 82,888 41,444 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230

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