λ
Harmonic Matrix

3,500,794

2 × 11 × 227 × 701
Deficient Even Composite

3,500,794 has digital root 1. The neighboring primes are 3500789 and 3500803; its proper-divisor sum differs from the starting integer by -1,239,572.

Prime Factor Structure

Factorization String 2 × 11 × 227 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,762,016
Proper Divisor Sum 2,261,222
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3500789 ← → #3500803

Radix Representation

Decimal 3500794
Binary 1101010110101011111010 (22 bits)
Octal 0o15265372
Hexadecimal 0x356AFA

Divisor Catalog (16)

1 2 11 22 227 454 701 1,402 2,497 4,994 7,711 15,422 159,127 318,254 1,750,397 3,500,794

Collatz Trajectory (190 steps to reach 1)

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

3,500,794 1,750,397 5,251,192 2,625,596 1,312,798 656,399 1,969,198 984,599 2,953,798 1,476,899 4,430,698 2,215,349 6,646,048 3,323,024 1,661,512 830,756 415,378 207,689 623,068 311,534 155,767 467,302 233,651 700,954 350,477 1,051,432 525,716 262,858 131,429 394,288 197,144 98,572 49,286 24,643 73,930 36,965 110,896 55,448 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617

More profiles

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