λ
Sequence Observatory

4,287,551

101 × 42451
Deficient Odd Composite

Starting at 4,287,551, the Collatz iteration reaches 1 after 97 steps. The first transition is 12862654; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 101 × 42451
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,330,104
Proper Divisor Sum 42,553
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4287539 ← → #4287557

Radix Representation

Decimal 4287551
Binary 10000010110110000111111 (23 bits)
Octal 0o20266077
Hexadecimal 0x416C3F

Divisor Catalog (4)

1 101 42,451 4,287,551

Collatz Trajectory (97 steps to reach 1)

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

4,287,551 12,862,654 6,431,327 19,293,982 9,646,991 28,940,974 14,470,487 43,411,462 21,705,731 65,117,194 32,558,597 97,675,792 48,837,896 24,418,948 12,209,474 6,104,737 18,314,212 9,157,106 4,578,553 13,735,660 6,867,830 3,433,915 10,301,746 5,150,873 15,452,620 7,726,310 3,863,155 11,589,466 5,794,733 17,384,200 8,692,100 4,346,050 2,173,025 6,519,076 3,259,538 1,629,769 4,889,308 2,444,654 1,222,327 3,666,982 1,833,491 5,500,474 2,750,237 8,250,712 4,125,356 2,062,678 1,031,339 3,094,018 1,547,009 4,641,028 2,320,514 1,160,257 3,480,772 1,740,386 870,193 2,610,580 1,305,290 652,645 1,957,936 978,968

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