λ
Sigma Notebook

7,512,237

33 × 23 × 12097
Deficient Odd Composite

7,512,237 is odd and not a perfect square. Its factorization is 3^3 × 23 × 12097 and its 16 divisors sum to 11,614,080.

Prime Factor Structure

Factorization String 3^3 × 23 × 12097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,614,080
Proper Divisor Sum 4,101,843
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7512217 ← → #7512289

Radix Representation

Decimal 7512237
Binary 11100101010000010101101 (23 bits)
Octal 0o34520255
Hexadecimal 0x72A0AD

Divisor Catalog (16)

1 3 9 23 27 69 207 621 12,097 36,291 108,873 278,231 326,619 834,693 2,504,079 7,512,237

Collatz Trajectory (85 steps to reach 1)

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

7,512,237 22,536,712 11,268,356 5,634,178 2,817,089 8,451,268 4,225,634 2,112,817 6,338,452 3,169,226 1,584,613 4,753,840 2,376,920 1,188,460 594,230 297,115 891,346 445,673 1,337,020 668,510 334,255 1,002,766 501,383 1,504,150 752,075 2,256,226 1,128,113 3,384,340 1,692,170 846,085 2,538,256 1,269,128 634,564 317,282 158,641 475,924 237,962 118,981 356,944 178,472 89,236 44,618 22,309 66,928 33,464 16,732 8,366 4,183 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324

More profiles

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