λ
Harmonic Matrix

1,096,845

3 × 5 × 83 × 881
Deficient Odd Composite

1,096,845 has digital root 6. The neighboring primes are 1096831 and 1096853; its proper-divisor sum differs from the starting integer by -415,578.

Prime Factor Structure

Factorization String 3 × 5 × 83 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,778,112
Proper Divisor Sum 681,267
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1096831 ← → #1096853

Radix Representation

Decimal 1096845
Binary 100001011110010001101 (21 bits)
Octal 0o4136215
Hexadecimal 0x10BC8D

Divisor Catalog (16)

1 3 5 15 83 249 415 881 1,245 2,643 4,405 13,215 73,123 219,369 365,615 1,096,845

Collatz Trajectory (116 steps to reach 1)

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

1,096,845 3,290,536 1,645,268 822,634 411,317 1,233,952 616,976 308,488 154,244 77,122 38,561 115,684 57,842 28,921 86,764 43,382 21,691 65,074 32,537 97,612 48,806 24,403 73,210 36,605 109,816 54,908 27,454 13,727 41,182 20,591 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958

More profiles

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