λ
Sigma Notebook

2,932,760

23 × 5 × 157 × 467
Abundant Even Composite

2,932,760 is even and not a perfect square. Its factorization is 2^3 × 5 × 157 × 467 and its 32 divisors sum to 6,654,960.

Prime Factor Structure

Factorization String 2^3 × 5 × 157 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,654,960
Proper Divisor Sum 3,722,200
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2932757 ← → #2932777

Radix Representation

Decimal 2932760
Binary 1011001100000000011000 (22 bits)
Octal 0o13140030
Hexadecimal 0x2CC018

Divisor Catalog (32)

1 2 4 5 8 10 20 40 157 314 467 628 785 934 1,256 1,570 1,868 2,335 3,140 3,736 4,670 6,280 9,340 18,680 73,319 146,638 293,276 366,595 586,552 733,190 1,466,380 2,932,760

Collatz Trajectory (89 steps to reach 1)

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

2,932,760 1,466,380 733,190 366,595 1,099,786 549,893 1,649,680 824,840 412,420 206,210 103,105 309,316 154,658 77,329 231,988 115,994 57,997 173,992 86,996 43,498 21,749 65,248 32,624 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520

More profiles

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