λ
Harmonic Matrix

8,787,123

35 × 36161
Deficient Odd Composite

8,787,123 has digital root 9. The neighboring primes are 8787109 and 8787131; its proper-divisor sum differs from the starting integer by -4,411,278.

Prime Factor Structure

Factorization String 3^5 × 36161
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,162,968
Proper Divisor Sum 4,375,845
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8787109 ← → #8787131

Radix Representation

Decimal 8787123
Binary 100001100001010010110011 (24 bits)
Octal 0o41412263
Hexadecimal 0x8614B3

Divisor Catalog (12)

1 3 9 27 81 243 36,161 108,483 325,449 976,347 2,929,041 8,787,123

Collatz Trajectory (150 steps to reach 1)

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

8,787,123 26,361,370 13,180,685 39,542,056 19,771,028 9,885,514 4,942,757 14,828,272 7,414,136 3,707,068 1,853,534 926,767 2,780,302 1,390,151 4,170,454 2,085,227 6,255,682 3,127,841 9,383,524 4,691,762 2,345,881 7,037,644 3,518,822 1,759,411 5,278,234 2,639,117 7,917,352 3,958,676 1,979,338 989,669 2,969,008 1,484,504 742,252 371,126 185,563 556,690 278,345 835,036 417,518 208,759 626,278 313,139 939,418 469,709 1,409,128 704,564 352,282 176,141 528,424 264,212 132,106 66,053 198,160 99,080 49,540 24,770 12,385 37,156 18,578 9,289

More profiles

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