λ
Harmonic Matrix

8,067,031

7 × 557 × 2069
Deficient Odd Composite

8,067,031 has digital root 7. The neighboring primes are 8067023 and 8067047; its proper-divisor sum differs from the starting integer by -6,893,582.

Prime Factor Structure

Factorization String 7 × 557 × 2069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,240,480
Proper Divisor Sum 1,173,449
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8067023 ← → #8067047

Radix Representation

Decimal 8067031
Binary 11110110001011111010111 (23 bits)
Octal 0o36613727
Hexadecimal 0x7B17D7

Divisor Catalog (8)

1 7 557 2,069 3,899 14,483 1,152,433 8,067,031

Collatz Trajectory (230 steps to reach 1)

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

8,067,031 24,201,094 12,100,547 36,301,642 18,150,821 54,452,464 27,226,232 13,613,116 6,806,558 3,403,279 10,209,838 5,104,919 15,314,758 7,657,379 22,972,138 11,486,069 34,458,208 17,229,104 8,614,552 4,307,276 2,153,638 1,076,819 3,230,458 1,615,229 4,845,688 2,422,844 1,211,422 605,711 1,817,134 908,567 2,725,702 1,362,851 4,088,554 2,044,277 6,132,832 3,066,416 1,533,208 766,604 383,302 191,651 574,954 287,477 862,432 431,216 215,608 107,804 53,902 26,951 80,854 40,427 121,282 60,641 181,924 90,962 45,481 136,444 68,222 34,111 102,334 51,167

More profiles

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