λ
Harmonic Matrix

796,147

11 × 157 × 461
Deficient Odd Composite

796,147 has digital root 7. The neighboring primes are 796141 and 796151; its proper-divisor sum differs from the starting integer by -716,342.

Prime Factor Structure

Factorization String 11 × 157 × 461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 875,952
Proper Divisor Sum 79,805
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #796141 ← → #796151

Radix Representation

Decimal 796147
Binary 11000010010111110011 (20 bits)
Octal 0o3022763
Hexadecimal 0xC25F3

Divisor Catalog (8)

1 11 157 461 1,727 5,071 72,377 796,147

Collatz Trajectory (100 steps to reach 1)

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

796,147 2,388,442 1,194,221 3,582,664 1,791,332 895,666 447,833 1,343,500 671,750 335,875 1,007,626 503,813 1,511,440 755,720 377,860 188,930 94,465 283,396 141,698 70,849 212,548 106,274 53,137 159,412 79,706 39,853 119,560 59,780 29,890 14,945 44,836 22,418 11,209 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842

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