8,214,932

2² × 11³ × 1543

Starting at 8,214,932, the Collatz iteration reaches 1 after 155 steps. The first transition is 4107466; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^3 × 1543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,822,912

Proper Divisor Sum 7,607,980

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8214929 ← → #8214949

Radix Representation

Decimal	8214932
Binary	11111010101100110010100 (23 bits)
Octal	0o37254624
Hexadecimal	0x7D5994

Divisor Catalog (24)

1 2 4 11 22 44 121 242 484 1,331 1,543 2,662 3,086 5,324 6,172 16,973 33,946 67,892 186,703 373,406 746,812 2,053,733 4,107,466 8,214,932

Collatz Trajectory (155 steps to reach 1)

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

8,214,932 4,107,466 2,053,733 6,161,200 3,080,600 1,540,300 770,150 385,075 1,155,226 577,613 1,732,840 866,420 433,210 216,605 649,816 324,908 162,454 81,227 243,682 121,841 365,524 182,762 91,381 274,144 137,072 68,536 34,268 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456

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