λ
Sigma Notebook

4,686,845

5 × 317 × 2957
Deficient Odd Composite

4,686,845 is odd and not a perfect square. Its factorization is 5 × 317 × 2957 and its 8 divisors sum to 5,643,864.

Prime Factor Structure

Factorization String 5 × 317 × 2957
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,643,864
Proper Divisor Sum 957,019
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4686841 ← → #4686881

Radix Representation

Decimal 4686845
Binary 10001111000001111111101 (23 bits)
Octal 0o21701775
Hexadecimal 0x4783FD

Divisor Catalog (8)

1 5 317 1,585 2,957 14,785 937,369 4,686,845

Collatz Trajectory (180 steps to reach 1)

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

4,686,845 14,060,536 7,030,268 3,515,134 1,757,567 5,272,702 2,636,351 7,909,054 3,954,527 11,863,582 5,931,791 17,795,374 8,897,687 26,693,062 13,346,531 40,039,594 20,019,797 60,059,392 30,029,696 15,014,848 7,507,424 3,753,712 1,876,856 938,428 469,214 234,607 703,822 351,911 1,055,734 527,867 1,583,602 791,801 2,375,404 1,187,702 593,851 1,781,554 890,777 2,672,332 1,336,166 668,083 2,004,250 1,002,125 3,006,376 1,503,188 751,594 375,797 1,127,392 563,696 281,848 140,924 70,462 35,231 105,694 52,847 158,542 79,271 237,814 118,907 356,722 178,361

More profiles

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