λ
Sequence Observatory

5,206,975

52 × 208279
Deficient Odd Composite

Starting at 5,206,975, the Collatz iteration reaches 1 after 131 steps. The first transition is 15620926; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 208279
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,456,680
Proper Divisor Sum 1,249,705
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5206967 ← → #5206991

Radix Representation

Decimal 5206975
Binary 10011110111001110111111 (23 bits)
Octal 0o23671677
Hexadecimal 0x4F73BF

Divisor Catalog (6)

1 5 25 208,279 1,041,395 5,206,975

Collatz Trajectory (131 steps to reach 1)

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

5,206,975 15,620,926 7,810,463 23,431,390 11,715,695 35,147,086 17,573,543 52,720,630 26,360,315 79,080,946 39,540,473 118,621,420 59,310,710 29,655,355 88,966,066 44,483,033 133,449,100 66,724,550 33,362,275 100,086,826 50,043,413 150,130,240 75,065,120 37,532,560 18,766,280 9,383,140 4,691,570 2,345,785 7,037,356 3,518,678 1,759,339 5,278,018 2,639,009 7,917,028 3,958,514 1,979,257 5,937,772 2,968,886 1,484,443 4,453,330 2,226,665 6,679,996 3,339,998 1,669,999 5,009,998 2,504,999 7,514,998 3,757,499 11,272,498 5,636,249 16,908,748 8,454,374 4,227,187 12,681,562 6,340,781 19,022,344 9,511,172 4,755,586 2,377,793 7,133,380

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