λ
Harmonic Matrix

8,723,769

3 × 2907923
Deficient Odd Composite

8,723,769 has digital root 6. The neighboring primes are 8723731 and 8723789; its proper-divisor sum differs from the starting integer by -5,815,842.

Prime Factor Structure

Factorization String 3 × 2907923
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,631,696
Proper Divisor Sum 2,907,927
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8723731 ← → #8723789

Radix Representation

Decimal 8723769
Binary 100001010001110100111001 (24 bits)
Octal 0o41216471
Hexadecimal 0x851D39

Divisor Catalog (4)

1 3 2,907,923 8,723,769

Collatz Trajectory (181 steps to reach 1)

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

8,723,769 26,171,308 13,085,654 6,542,827 19,628,482 9,814,241 29,442,724 14,721,362 7,360,681 22,082,044 11,041,022 5,520,511 16,561,534 8,280,767 24,842,302 12,421,151 37,263,454 18,631,727 55,895,182 27,947,591 83,842,774 41,921,387 125,764,162 62,882,081 188,646,244 94,323,122 47,161,561 141,484,684 70,742,342 35,371,171 106,113,514 53,056,757 159,170,272 79,585,136 39,792,568 19,896,284 9,948,142 4,974,071 14,922,214 7,461,107 22,383,322 11,191,661 33,574,984 16,787,492 8,393,746 4,196,873 12,590,620 6,295,310 3,147,655 9,442,966 4,721,483 14,164,450 7,082,225 21,246,676 10,623,338 5,311,669 15,935,008 7,967,504 3,983,752 1,991,876

More profiles

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