5,669,676

2² × 3⁵ × 19 × 307

Starting at 5,669,676, the Collatz iteration reaches 1 after 77 steps. The first transition is 2834838; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 19 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,695,680

Proper Divisor Sum 10,026,004

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5669663 ← → #5669681

Radix Representation

Decimal	5669676
Binary	10101101000001100101100 (23 bits)
Octal	0o25501454
Hexadecimal	0x56832C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 307 324 342 486 513 614 684 921 972 1,026 1,228 1,539 1,842 2,052 2,763 3,078 3,684 4,617 5,526 5,833 6,156 8,289 9,234 11,052 11,666 16,578 17,499 18,468 23,332 24,867 33,156 34,998 49,734 52,497 69,996 74,601 99,468 104,994

Collatz Trajectory (77 steps to reach 1)

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

5,669,676 2,834,838 1,417,419 4,252,258 2,126,129 6,378,388 3,189,194 1,594,597 4,783,792 2,391,896 1,195,948 597,974 298,987 896,962 448,481 1,345,444 672,722 336,361 1,009,084 504,542 252,271 756,814 378,407 1,135,222 567,611 1,702,834 851,417 2,554,252 1,277,126 638,563 1,915,690 957,845 2,873,536 1,436,768 718,384 359,192 179,596 89,798 44,899 134,698 67,349 202,048 101,024 50,512 25,256 12,628 6,314 3,157 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28

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