λ
Sequence Observatory

9,897,257

9897257
Deficient Odd Prime

Starting at 9,897,257, the Collatz iteration reaches 1 after 220 steps. The first transition is 29691772; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 9897257
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,897,258
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9897253 ← → #9897263

Radix Representation

Decimal 9897257
Binary 100101110000010100101001 (24 bits)
Octal 0o45602451
Hexadecimal 0x970529

Divisor Catalog (2)

Collatz Trajectory (220 steps to reach 1)

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

9,897,257 29,691,772 14,845,886 7,422,943 22,268,830 11,134,415 33,403,246 16,701,623 50,104,870 25,052,435 75,157,306 37,578,653 112,735,960 56,367,980 28,183,990 14,091,995 42,275,986 21,137,993 63,413,980 31,706,990 15,853,495 47,560,486 23,780,243 71,340,730 35,670,365 107,011,096 53,505,548 26,752,774 13,376,387 40,129,162 20,064,581 60,193,744 30,096,872 15,048,436 7,524,218 3,762,109 11,286,328 5,643,164 2,821,582 1,410,791 4,232,374 2,116,187 6,348,562 3,174,281 9,522,844 4,761,422 2,380,711 7,142,134 3,571,067 10,713,202 5,356,601 16,069,804 8,034,902 4,017,451 12,052,354 6,026,177 18,078,532 9,039,266 4,519,633 13,558,900

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