2,576,644

2² × 7 × 23 × 4001

Starting at 2,576,644, the Collatz iteration reaches 1 after 125 steps. The first transition is 1288322; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 4001

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,378,688

Proper Divisor Sum 2,802,044

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2576641 ← → #2576653

Radix Representation

Decimal	2576644
Binary	1001110101000100000100 (22 bits)
Octal	0o11650404
Hexadecimal	0x275104

Divisor Catalog (24)

1 2 4 7 14 23 28 46 92 161 322 644 4,001 8,002 16,004 28,007 56,014 92,023 112,028 184,046 368,092 644,161 1,288,322 2,576,644

Collatz Trajectory (125 steps to reach 1)

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

2,576,644 1,288,322 644,161 1,932,484 966,242 483,121 1,449,364 724,682 362,341 1,087,024 543,512 271,756 135,878 67,939 203,818 101,909 305,728 152,864 76,432 38,216 19,108 9,554 4,777 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726

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