λ
Sequence Observatory

6,367,135

5 × 157 × 8111
Deficient Odd Composite

Starting at 6,367,135, the Collatz iteration reaches 1 after 209 steps. The first transition is 19101406; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 157 × 8111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,690,176
Proper Divisor Sum 1,323,041
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6367111 ← → #6367157

Radix Representation

Decimal 6367135
Binary 11000010010011110011111 (23 bits)
Octal 0o30223637
Hexadecimal 0x61279F

Divisor Catalog (8)

1 5 157 785 8,111 40,555 1,273,427 6,367,135

Collatz Trajectory (209 steps to reach 1)

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

6,367,135 19,101,406 9,550,703 28,652,110 14,326,055 42,978,166 21,489,083 64,467,250 32,233,625 96,700,876 48,350,438 24,175,219 72,525,658 36,262,829 108,788,488 54,394,244 27,197,122 13,598,561 40,795,684 20,397,842 10,198,921 30,596,764 15,298,382 7,649,191 22,947,574 11,473,787 34,421,362 17,210,681 51,632,044 25,816,022 12,908,011 38,724,034 19,362,017 58,086,052 29,043,026 14,521,513 43,564,540 21,782,270 10,891,135 32,673,406 16,336,703 49,010,110 24,505,055 73,515,166 36,757,583 110,272,750 55,136,375 165,409,126 82,704,563 248,113,690 124,056,845 372,170,536 186,085,268 93,042,634 46,521,317 139,563,952 69,781,976 34,890,988 17,445,494 8,722,747

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