λ
Sigma Notebook

2,672,370

2 × 32 × 5 × 23 × 1291
Abundant Even Composite

2,672,370 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 23 × 1291 and its 48 divisors sum to 7,255,872.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 23 × 1291
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,255,872
Proper Divisor Sum 4,583,502
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2672363 ← → #2672377

Radix Representation

Decimal 2672370
Binary 1010001100011011110010 (22 bits)
Octal 0o12143362
Hexadecimal 0x28C6F2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1,035 1,291 2,070 2,582 3,873 6,455 7,746 11,619 12,910 19,365 23,238 29,693 38,730 58,095 59,386 89,079 116,190 148,465 178,158 267,237 296,930 445,395 534,474 890,790 1,336,185 2,672,370

Collatz Trajectory (117 steps to reach 1)

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

2,672,370 1,336,185 4,008,556 2,004,278 1,002,139 3,006,418 1,503,209 4,509,628 2,254,814 1,127,407 3,382,222 1,691,111 5,073,334 2,536,667 7,610,002 3,805,001 11,415,004 5,707,502 2,853,751 8,561,254 4,280,627 12,841,882 6,420,941 19,262,824 9,631,412 4,815,706 2,407,853 7,223,560 3,611,780 1,805,890 902,945 2,708,836 1,354,418 677,209 2,031,628 1,015,814 507,907 1,523,722 761,861 2,285,584 1,142,792 571,396 285,698 142,849 428,548 214,274 107,137 321,412 160,706 80,353 241,060 120,530 60,265 180,796 90,398 45,199 135,598 67,799 203,398 101,699

More profiles

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