8,566,764

2² × 3 × 23 × 31039

Starting at 8,566,764, the Collatz iteration reaches 1 after 124 steps. The first transition is 4283382; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 31039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,858,880

Proper Divisor Sum 12,292,116

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8566729 ← → #8566771

Radix Representation

Decimal	8566764
Binary	100000101011011111101100 (24 bits)
Octal	0o40533754
Hexadecimal	0x82B7EC

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 31,039 62,078 93,117 124,156 186,234 372,468 713,897 1,427,794 2,141,691 2,855,588 4,283,382 8,566,764

Collatz Trajectory (124 steps to reach 1)

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

8,566,764 4,283,382 2,141,691 6,425,074 3,212,537 9,637,612 4,818,806 2,409,403 7,228,210 3,614,105 10,842,316 5,421,158 2,710,579 8,131,738 4,065,869 12,197,608 6,098,804 3,049,402 1,524,701 4,574,104 2,287,052 1,143,526 571,763 1,715,290 857,645 2,572,936 1,286,468 643,234 321,617 964,852 482,426 241,213 723,640 361,820 180,910 90,455 271,366 135,683 407,050 203,525 610,576 305,288 152,644 76,322 38,161 114,484 57,242 28,621 85,864 42,932 21,466 10,733 32,200 16,100 8,050 4,025 12,076 6,038 3,019 9,058

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