8,216,561

8216561

Starting at 8,216,561, the Collatz iteration reaches 1 after 199 steps. The first transition is 24649684; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8216561

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 8,216,562

Proper Divisor Sum 1

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8216557 ← → #8216573

Radix Representation

Decimal	8216561
Binary	11111010101111111110001 (23 bits)
Octal	0o37257761
Hexadecimal	0x7D5FF1

Divisor Catalog (2)

1 8,216,561

Collatz Trajectory (199 steps to reach 1)

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

8,216,561 24,649,684 12,324,842 6,162,421 18,487,264 9,243,632 4,621,816 2,310,908 1,155,454 577,727 1,733,182 866,591 2,599,774 1,299,887 3,899,662 1,949,831 5,849,494 2,924,747 8,774,242 4,387,121 13,161,364 6,580,682 3,290,341 9,871,024 4,935,512 2,467,756 1,233,878 616,939 1,850,818 925,409 2,776,228 1,388,114 694,057 2,082,172 1,041,086 520,543 1,561,630 780,815 2,342,446 1,171,223 3,513,670 1,756,835 5,270,506 2,635,253 7,905,760 3,952,880 1,976,440 988,220 494,110 247,055 741,166 370,583 1,111,750 555,875 1,667,626 833,813 2,501,440 1,250,720 625,360 312,680

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