λ
Sequence Observatory

850,057

13 × 23 × 2843
Deficient Odd Composite

Starting at 850,057, the Collatz iteration reaches 1 after 87 steps. The first transition is 2550172; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 23 × 2843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 955,584
Proper Divisor Sum 105,527
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #850049 ← → #850061

Radix Representation

Decimal 850057
Binary 11001111100010001001 (20 bits)
Octal 0o3174211
Hexadecimal 0xCF889

Divisor Catalog (8)

1 13 23 299 2,843 36,959 65,389 850,057

Collatz Trajectory (87 steps to reach 1)

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

850,057 2,550,172 1,275,086 637,543 1,912,630 956,315 2,868,946 1,434,473 4,303,420 2,151,710 1,075,855 3,227,566 1,613,783 4,841,350 2,420,675 7,262,026 3,631,013 10,893,040 5,446,520 2,723,260 1,361,630 680,815 2,042,446 1,021,223 3,063,670 1,531,835 4,595,506 2,297,753 6,893,260 3,446,630 1,723,315 5,169,946 2,584,973 7,754,920 3,877,460 1,938,730 969,365 2,908,096 1,454,048 727,024 363,512 181,756 90,878 45,439 136,318 68,159 204,478 102,239 306,718 153,359 460,078 230,039 690,118 345,059 1,035,178 517,589 1,552,768 776,384 388,192 194,096

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