λ
Sequence Observatory

824,566

2 × 149 × 2767
Deficient Even Composite

Starting at 824,566, the Collatz iteration reaches 1 after 175 steps. The first transition is 412283; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 149 × 2767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,245,600
Proper Divisor Sum 421,034
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #824563 ← → #824591

Radix Representation

Decimal 824566
Binary 11001001010011110110 (20 bits)
Octal 0o3112366
Hexadecimal 0xC94F6

Divisor Catalog (8)

1 2 149 298 2,767 5,534 412,283 824,566

Collatz Trajectory (175 steps to reach 1)

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

824,566 412,283 1,236,850 618,425 1,855,276 927,638 463,819 1,391,458 695,729 2,087,188 1,043,594 521,797 1,565,392 782,696 391,348 195,674 97,837 293,512 146,756 73,378 36,689 110,068 55,034 27,517 82,552 41,276 20,638 10,319 30,958 15,479 46,438 23,219 69,658 34,829 104,488 52,244 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146

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