2,931,488

2⁵ × 7 × 23 × 569

Starting at 2,931,488, the Collatz iteration reaches 1 after 138 steps. The first transition is 1465744; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 23 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,894,720

Proper Divisor Sum 3,963,232

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2931457 ← → #2931493

Radix Representation

Decimal	2931488
Binary	1011001011101100100000 (22 bits)
Octal	0o13135440
Hexadecimal	0x2CBB20

Divisor Catalog (48)

1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 569 644 736 1,138 1,288 2,276 2,576 3,983 4,552 5,152 7,966 9,104 13,087 15,932 18,208 26,174 31,864 52,348 63,728 91,609 104,696 127,456 183,218 209,392 366,436 418,784 732,872 1,465,744 2,931,488

Collatz Trajectory (138 steps to reach 1)

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

2,931,488 1,465,744 732,872 366,436 183,218 91,609 274,828 137,414 68,707 206,122 103,061 309,184 154,592 77,296 38,648 19,324 9,662 4,831 14,494 7,247 21,742 10,871 32,614 16,307 48,922 24,461 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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