λ
Harmonic Matrix

8,360,727

3 × 2786909
Deficient Odd Composite

8,360,727 has digital root 6. The neighboring primes are 8360717 and 8360743; its proper-divisor sum differs from the starting integer by -5,573,814.

Prime Factor Structure

Factorization String 3 × 2786909
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,147,640
Proper Divisor Sum 2,786,913
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8360717 ← → #8360743

Radix Representation

Decimal 8360727
Binary 11111111001001100010111 (23 bits)
Octal 0o37711427
Hexadecimal 0x7F9317

Divisor Catalog (4)

1 3 2,786,909 8,360,727

Collatz Trajectory (137 steps to reach 1)

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

8,360,727 25,082,182 12,541,091 37,623,274 18,811,637 56,434,912 28,217,456 14,108,728 7,054,364 3,527,182 1,763,591 5,290,774 2,645,387 7,936,162 3,968,081 11,904,244 5,952,122 2,976,061 8,928,184 4,464,092 2,232,046 1,116,023 3,348,070 1,674,035 5,022,106 2,511,053 7,533,160 3,766,580 1,883,290 941,645 2,824,936 1,412,468 706,234 353,117 1,059,352 529,676 264,838 132,419 397,258 198,629 595,888 297,944 148,972 74,486 37,243 111,730 55,865 167,596 83,798 41,899 125,698 62,849 188,548 94,274 47,137 141,412 70,706 35,353 106,060 53,030

More profiles

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