λ
Sequence Observatory

4,240,567

4240567
Deficient Odd Prime

Starting at 4,240,567, the Collatz iteration reaches 1 after 105 steps. The first transition is 12721702; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4240567
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,240,568
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4240559 ← → #4240597

Radix Representation

Decimal 4240567
Binary 10000001011010010110111 (23 bits)
Octal 0o20132267
Hexadecimal 0x40B4B7

Divisor Catalog (2)

Collatz Trajectory (105 steps to reach 1)

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

4,240,567 12,721,702 6,360,851 19,082,554 9,541,277 28,623,832 14,311,916 7,155,958 3,577,979 10,733,938 5,366,969 16,100,908 8,050,454 4,025,227 12,075,682 6,037,841 18,113,524 9,056,762 4,528,381 13,585,144 6,792,572 3,396,286 1,698,143 5,094,430 2,547,215 7,641,646 3,820,823 11,462,470 5,731,235 17,193,706 8,596,853 25,790,560 12,895,280 6,447,640 3,223,820 1,611,910 805,955 2,417,866 1,208,933 3,626,800 1,813,400 906,700 453,350 226,675 680,026 340,013 1,020,040 510,020 255,010 127,505 382,516 191,258 95,629 286,888 143,444 71,722 35,861 107,584 53,792 26,896

More profiles

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