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Atlas › Integer Profiles › Node 3,674,958

3,674,958

2 × 3 × 7 × 17 × 5147
Abundant Even Composite

3,674,958 factors as 2 × 3 × 7 × 17 × 5147. Its 32 positive divisors give a proper-divisor sum of 5,220,786, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 5147
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,895,744
Proper Divisor Sum 5,220,786
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3674947 ← → #3674969

Radix Representation

Decimal 3674958
Binary 1110000001001101001110 (22 bits)
Octal 0o16011516
Hexadecimal 0x38134E

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 5,147 10,294 15,441 30,882 36,029 72,058 87,499 108,087 174,998 216,174 262,497 524,994 612,493 1,224,986 1,837,479 3,674,958

Collatz Trajectory (203 steps to reach 1)

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

3,674,958 1,837,479 5,512,438 2,756,219 8,268,658 4,134,329 12,402,988 6,201,494 3,100,747 9,302,242 4,651,121 13,953,364 6,976,682 3,488,341 10,465,024 5,232,512 2,616,256 1,308,128 654,064 327,032 163,516 81,758 40,879 122,638 61,319 183,958 91,979 275,938 137,969 413,908 206,954 103,477 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327

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