λ
Sequence Observatory

6,174,223

11 × 571 × 983
Deficient Odd Composite

Starting at 6,174,223, the Collatz iteration reaches 1 after 134 steps. The first transition is 18522670; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 571 × 983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,754,176
Proper Divisor Sum 579,953
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6174191 ← → #6174229

Radix Representation

Decimal 6174223
Binary 10111100011011000001111 (23 bits)
Octal 0o27433017
Hexadecimal 0x5E360F

Divisor Catalog (8)

1 11 571 983 6,281 10,813 561,293 6,174,223

Collatz Trajectory (134 steps to reach 1)

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

6,174,223 18,522,670 9,261,335 27,784,006 13,892,003 41,676,010 20,838,005 62,514,016 31,257,008 15,628,504 7,814,252 3,907,126 1,953,563 5,860,690 2,930,345 8,791,036 4,395,518 2,197,759 6,593,278 3,296,639 9,889,918 4,944,959 14,834,878 7,417,439 22,252,318 11,126,159 33,378,478 16,689,239 50,067,718 25,033,859 75,101,578 37,550,789 112,652,368 56,326,184 28,163,092 14,081,546 7,040,773 21,122,320 10,561,160 5,280,580 2,640,290 1,320,145 3,960,436 1,980,218 990,109 2,970,328 1,485,164 742,582 371,291 1,113,874 556,937 1,670,812 835,406 417,703 1,253,110 626,555 1,879,666 939,833 2,819,500 1,409,750

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