893,148

2² × 3 × 263 × 283

Starting at 893,148, the Collatz iteration reaches 1 after 139 steps. The first transition is 446574; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 263 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,099,328

Proper Divisor Sum 1,206,180

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #893147 ← → #893149

Radix Representation

Decimal	893148
Binary	11011010000011011100 (20 bits)
Octal	0o3320334
Hexadecimal	0xDA0DC

Divisor Catalog (24)

1 2 3 4 6 12 263 283 526 566 789 849 1,052 1,132 1,578 1,698 3,156 3,396 74,429 148,858 223,287 297,716 446,574 893,148

Collatz Trajectory (139 steps to reach 1)

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

893,148 446,574 223,287 669,862 334,931 1,004,794 502,397 1,507,192 753,596 376,798 188,399 565,198 282,599 847,798 423,899 1,271,698 635,849 1,907,548 953,774 476,887 1,430,662 715,331 2,145,994 1,072,997 3,218,992 1,609,496 804,748 402,374 201,187 603,562 301,781 905,344 452,672 226,336 113,168 56,584 28,292 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669

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