λ
Harmonic Matrix

8,708,723

79 × 110237
Deficient Odd Composite

8,708,723 has digital root 8. The neighboring primes are 8708717 and 8708731; its proper-divisor sum differs from the starting integer by -8,598,406.

Prime Factor Structure

Factorization String 79 × 110237
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,819,040
Proper Divisor Sum 110,317
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8708717 ← → #8708731

Radix Representation

Decimal 8708723
Binary 100001001110001001110011 (24 bits)
Octal 0o41161163
Hexadecimal 0x84E273

Divisor Catalog (4)

1 79 110,237 8,708,723

Collatz Trajectory (181 steps to reach 1)

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

8,708,723 26,126,170 13,063,085 39,189,256 19,594,628 9,797,314 4,898,657 14,695,972 7,347,986 3,673,993 11,021,980 5,510,990 2,755,495 8,266,486 4,133,243 12,399,730 6,199,865 18,599,596 9,299,798 4,649,899 13,949,698 6,974,849 20,924,548 10,462,274 5,231,137 15,693,412 7,846,706 3,923,353 11,770,060 5,885,030 2,942,515 8,827,546 4,413,773 13,241,320 6,620,660 3,310,330 1,655,165 4,965,496 2,482,748 1,241,374 620,687 1,862,062 931,031 2,793,094 1,396,547 4,189,642 2,094,821 6,284,464 3,142,232 1,571,116 785,558 392,779 1,178,338 589,169 1,767,508 883,754 441,877 1,325,632 662,816 331,408

More profiles

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