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Atlas › Integer Profiles › Node 4,122,657

4,122,657

34 × 7 × 11 × 661
Deficient Odd Composite

4,122,657 factors as 3^4 × 7 × 11 × 661. Its 40 positive divisors give a proper-divisor sum of 3,567,135, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 11 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,689,792
Proper Divisor Sum 3,567,135
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4122647 ← → #4122661

Radix Representation

Decimal 4122657
Binary 1111101110100000100001 (22 bits)
Octal 0o17564041
Hexadecimal 0x3EE821

Divisor Catalog (40)

1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 661 693 891 1,983 2,079 4,627 5,949 6,237 7,271 13,881 17,847 21,813 41,643 50,897 53,541 65,439 124,929 152,691 196,317 374,787 458,073 588,951 1,374,219 4,122,657

Collatz Trajectory (92 steps to reach 1)

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

4,122,657 12,367,972 6,183,986 3,091,993 9,275,980 4,637,990 2,318,995 6,956,986 3,478,493 10,435,480 5,217,740 2,608,870 1,304,435 3,913,306 1,956,653 5,869,960 2,934,980 1,467,490 733,745 2,201,236 1,100,618 550,309 1,650,928 825,464 412,732 206,366 103,183 309,550 154,775 464,326 232,163 696,490 348,245 1,044,736 522,368 261,184 130,592 65,296 32,648 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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