2,942,880

2⁵ × 3 × 5 × 6131

Starting at 2,942,880, the Collatz iteration reaches 1 after 94 steps. The first transition is 1471440; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 6131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,271,584

Proper Divisor Sum 6,328,704

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2942843 ← → #2942881

Radix Representation

Decimal	2942880
Binary	1011001110011110100000 (22 bits)
Octal	0o13163640
Hexadecimal	0x2CE7A0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6,131 12,262 18,393 24,524 30,655 36,786 49,048 61,310 73,572 91,965 98,096 122,620 147,144 183,930 196,192 245,240 294,288 367,860 490,480 588,576 735,720 980,960 1,471,440 2,942,880

Collatz Trajectory (94 steps to reach 1)

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

2,942,880 1,471,440 735,720 367,860 183,930 91,965 275,896 137,948 68,974 34,487 103,462 51,731 155,194 77,597 232,792 116,396 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670

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