λ
Harmonic Matrix

1,756,121

233 × 7537
Deficient Odd Composite

1,756,121 has digital root 5. The neighboring primes are 1756109 and 1756127; its proper-divisor sum differs from the starting integer by -1,748,350.

Prime Factor Structure

Factorization String 233 × 7537
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,763,892
Proper Divisor Sum 7,771
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1756109 ← → #1756127

Radix Representation

Decimal 1756121
Binary 110101100101111011001 (21 bits)
Octal 0o6545731
Hexadecimal 0x1ACBD9

Divisor Catalog (4)

1 233 7,537 1,756,121

Collatz Trajectory (70 steps to reach 1)

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

1,756,121 5,268,364 2,634,182 1,317,091 3,951,274 1,975,637 5,926,912 2,963,456 1,481,728 740,864 370,432 185,216 92,608 46,304 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53

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