2,952,160

2⁵ × 5 × 18451

Starting at 2,952,160, the Collatz iteration reaches 1 after 107 steps. The first transition is 1476080; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 18451

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,974,856

Proper Divisor Sum 4,022,696

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2952149 ← → #2952167

Radix Representation

Decimal	2952160
Binary	1011010000101111100000 (22 bits)
Octal	0o13205740
Hexadecimal	0x2D0BE0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 18,451 36,902 73,804 92,255 147,608 184,510 295,216 369,020 590,432 738,040 1,476,080 2,952,160

Collatz Trajectory (107 steps to reach 1)

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

2,952,160 1,476,080 738,040 369,020 184,510 92,255 276,766 138,383 415,150 207,575 622,726 311,363 934,090 467,045 1,401,136 700,568 350,284 175,142 87,571 262,714 131,357 394,072 197,036 98,518 49,259 147,778 73,889 221,668 110,834 55,417 166,252 83,126 41,563 124,690 62,345 187,036 93,518 46,759 140,278 70,139 210,418 105,209 315,628 157,814 78,907 236,722 118,361 355,084 177,542 88,771 266,314 133,157 399,472 199,736 99,868 49,934 24,967 74,902 37,451 112,354

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