λ
Harmonic Matrix

7,074,788

22 × 7 × 17 × 89 × 167
Abundant Even Composite

7,074,788 has digital root 5. The neighboring primes are 7074779 and 7074797; its proper-divisor sum differs from the starting integer by 1,091,384.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 89 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,240,960
Proper Divisor Sum 8,166,172
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7074779 ← → #7074797

Radix Representation

Decimal 7074788
Binary 11010111111001111100100 (23 bits)
Octal 0o32771744
Hexadecimal 0x6BF3E4

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 89 119 167 178 238 334 356 476 623 668 1,169 1,246 1,513 2,338 2,492 2,839 3,026 4,676 5,678 6,052 10,591 11,356 14,863 19,873 21,182 29,726 39,746 42,364 59,452 79,492 104,041 208,082 252,671 416,164 505,342 1,010,684 1,768,697 3,537,394 7,074,788

Collatz Trajectory (129 steps to reach 1)

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

7,074,788 3,537,394 1,768,697 5,306,092 2,653,046 1,326,523 3,979,570 1,989,785 5,969,356 2,984,678 1,492,339 4,477,018 2,238,509 6,715,528 3,357,764 1,678,882 839,441 2,518,324 1,259,162 629,581 1,888,744 944,372 472,186 236,093 708,280 354,140 177,070 88,535 265,606 132,803 398,410 199,205 597,616 298,808 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547 283,642 141,821 425,464 212,732 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243

More profiles

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