λ
Sequence Observatory

6,102,305

5 × 11 × 110951
Deficient Odd Composite

Starting at 6,102,305, the Collatz iteration reaches 1 after 108 steps. The first transition is 18306916; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 110951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,988,544
Proper Divisor Sum 1,886,239
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6102301 ← → #6102307

Radix Representation

Decimal 6102305
Binary 10111010001110100100001 (23 bits)
Octal 0o27216441
Hexadecimal 0x5D1D21

Divisor Catalog (8)

1 5 11 55 110,951 554,755 1,220,461 6,102,305

Collatz Trajectory (108 steps to reach 1)

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

6,102,305 18,306,916 9,153,458 4,576,729 13,730,188 6,865,094 3,432,547 10,297,642 5,148,821 15,446,464 7,723,232 3,861,616 1,930,808 965,404 482,702 241,351 724,054 362,027 1,086,082 543,041 1,629,124 814,562 407,281 1,221,844 610,922 305,461 916,384 458,192 229,096 114,548 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078

More profiles

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