λ
Harmonic Matrix

7,045,396

22 × 53 × 167 × 199
Deficient Even Composite

7,045,396 has digital root 7. The neighboring primes are 7045393 and 7045403; its proper-divisor sum differs from the starting integer by -1,389,992.

Prime Factor Structure

Factorization String 2^2 × 53 × 167 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,700,800
Proper Divisor Sum 5,655,404
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7045393 ← → #7045403

Radix Representation

Decimal 7045396
Binary 11010111000000100010100 (23 bits)
Octal 0o32700424
Hexadecimal 0x6B8114

Divisor Catalog (24)

1 2 4 53 106 167 199 212 334 398 668 796 8,851 10,547 17,702 21,094 33,233 35,404 42,188 66,466 132,932 1,761,349 3,522,698 7,045,396

Collatz Trajectory (160 steps to reach 1)

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

7,045,396 3,522,698 1,761,349 5,284,048 2,642,024 1,321,012 660,506 330,253 990,760 495,380 247,690 123,845 371,536 185,768 92,884 46,442 23,221 69,664 34,832 17,416 8,708 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214

More profiles

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