λ
Sequence Observatory

893,027

17 × 131 × 401
Deficient Odd Composite

Starting at 893,027, the Collatz iteration reaches 1 after 188 steps. The first transition is 2679082; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 131 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 955,152
Proper Divisor Sum 62,125
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #893023 ← → #893029

Radix Representation

Decimal 893027
Binary 11011010000001100011 (20 bits)
Octal 0o3320143
Hexadecimal 0xDA063

Divisor Catalog (8)

1 17 131 401 2,227 6,817 52,531 893,027

Collatz Trajectory (188 steps to reach 1)

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

893,027 2,679,082 1,339,541 4,018,624 2,009,312 1,004,656 502,328 251,164 125,582 62,791 188,374 94,187 282,562 141,281 423,844 211,922 105,961 317,884 158,942 79,471 238,414 119,207 357,622 178,811 536,434 268,217 804,652 402,326 201,163 603,490 301,745 905,236 452,618 226,309 678,928 339,464 169,732 84,866 42,433 127,300 63,650 31,825 95,476 47,738 23,869 71,608 35,804 17,902 8,951 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665

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