λ
Sequence Observatory

4,218,707

4218707
Deficient Odd Prime

Starting at 4,218,707, the Collatz iteration reaches 1 after 105 steps. The first transition is 12656122; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4218707
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,218,708
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4218701 ← → #4218713

Radix Representation

Decimal 4218707
Binary 10000000101111101010011 (23 bits)
Octal 0o20057523
Hexadecimal 0x405F53

Divisor Catalog (2)

Collatz Trajectory (105 steps to reach 1)

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

4,218,707 12,656,122 6,328,061 18,984,184 9,492,092 4,746,046 2,373,023 7,119,070 3,559,535 10,678,606 5,339,303 16,017,910 8,008,955 24,026,866 12,013,433 36,040,300 18,020,150 9,010,075 27,030,226 13,515,113 40,545,340 20,272,670 10,136,335 30,409,006 15,204,503 45,613,510 22,806,755 68,420,266 34,210,133 102,630,400 51,315,200 25,657,600 12,828,800 6,414,400 3,207,200 1,603,600 801,800 400,900 200,450 100,225 300,676 150,338 75,169 225,508 112,754 56,377 169,132 84,566 42,283 126,850 63,425 190,276 95,138 47,569 142,708 71,354 35,677 107,032 53,516 26,758

More profiles

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