λ
Sequence Observatory

4,927,931

4927931
Deficient Odd Prime

Starting at 4,927,931, the Collatz iteration reaches 1 after 193 steps. The first transition is 14783794; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4927931
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,927,932
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4927927 ← → #4927933

Radix Representation

Decimal 4927931
Binary 10010110011000110111011 (23 bits)
Octal 0o22630673
Hexadecimal 0x4B31BB

Divisor Catalog (2)

Collatz Trajectory (193 steps to reach 1)

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

4,927,931 14,783,794 7,391,897 22,175,692 11,087,846 5,543,923 16,631,770 8,315,885 24,947,656 12,473,828 6,236,914 3,118,457 9,355,372 4,677,686 2,338,843 7,016,530 3,508,265 10,524,796 5,262,398 2,631,199 7,893,598 3,946,799 11,840,398 5,920,199 17,760,598 8,880,299 26,640,898 13,320,449 39,961,348 19,980,674 9,990,337 29,971,012 14,985,506 7,492,753 22,478,260 11,239,130 5,619,565 16,858,696 8,429,348 4,214,674 2,107,337 6,322,012 3,161,006 1,580,503 4,741,510 2,370,755 7,112,266 3,556,133 10,668,400 5,334,200 2,667,100 1,333,550 666,775 2,000,326 1,000,163 3,000,490 1,500,245 4,500,736 2,250,368 1,125,184

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