λ
Harmonic Matrix

7,396,226

2 × 37 × 127 × 787
Deficient Even Composite

7,396,226 has digital root 8. The neighboring primes are 7396223 and 7396229; its proper-divisor sum differs from the starting integer by -3,293,956.

Prime Factor Structure

Factorization String 2 × 37 × 127 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,498,496
Proper Divisor Sum 4,102,270
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7396223 ← → #7396229

Radix Representation

Decimal 7396226
Binary 11100001101101110000010 (23 bits)
Octal 0o34155602
Hexadecimal 0x70DB82

Divisor Catalog (16)

1 2 37 74 127 254 787 1,574 4,699 9,398 29,119 58,238 99,949 199,898 3,698,113 7,396,226

Collatz Trajectory (191 steps to reach 1)

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

7,396,226 3,698,113 11,094,340 5,547,170 2,773,585 8,320,756 4,160,378 2,080,189 6,240,568 3,120,284 1,560,142 780,071 2,340,214 1,170,107 3,510,322 1,755,161 5,265,484 2,632,742 1,316,371 3,949,114 1,974,557 5,923,672 2,961,836 1,480,918 740,459 2,221,378 1,110,689 3,332,068 1,666,034 833,017 2,499,052 1,249,526 624,763 1,874,290 937,145 2,811,436 1,405,718 702,859 2,108,578 1,054,289 3,162,868 1,581,434 790,717 2,372,152 1,186,076 593,038 296,519 889,558 444,779 1,334,338 667,169 2,001,508 1,000,754 500,377 1,501,132 750,566 375,283 1,125,850 562,925 1,688,776

More profiles

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