2,946,280

2³ × 5 × 73 × 1009

2,946,280 has the prime decomposition 2^3 × 5 × 73 × 1009. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 73 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,726,600

Proper Divisor Sum 3,780,320

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2946263 ← → #2946299

Radix Representation

Decimal	2946280
Binary	1011001111010011101000 (22 bits)
Octal	0o13172350
Hexadecimal	0x2CF4E8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 73 146 292 365 584 730 1,009 1,460 2,018 2,920 4,036 5,045 8,072 10,090 20,180 40,360 73,657 147,314 294,628 368,285 589,256 736,570 1,473,140 2,946,280

Collatz Trajectory (76 steps to reach 1)

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

2,946,280 1,473,140 736,570 368,285 1,104,856 552,428 276,214 138,107 414,322 207,161 621,484 310,742 155,371 466,114 233,057 699,172 349,586 174,793 524,380 262,190 131,095 393,286 196,643 589,930 294,965 884,896 442,448 221,224 110,612 55,306 27,653 82,960 41,480 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88

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