λ
Harmonic Matrix

8,632,167

3 × 31 × 101 × 919
Deficient Odd Composite

8,632,167 has digital root 6. The neighboring primes are 8632157 and 8632187; its proper-divisor sum differs from the starting integer by -5,252,814.

Prime Factor Structure

Factorization String 3 × 31 × 101 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,011,520
Proper Divisor Sum 3,379,353
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8632157 ← → #8632187

Radix Representation

Decimal 8632167
Binary 100000111011011101100111 (24 bits)
Octal 0o40733547
Hexadecimal 0x83B767

Divisor Catalog (16)

1 3 31 93 101 303 919 2,757 3,131 9,393 28,489 85,467 92,819 278,457 2,877,389 8,632,167

Collatz Trajectory (199 steps to reach 1)

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

8,632,167 25,896,502 12,948,251 38,844,754 19,422,377 58,267,132 29,133,566 14,566,783 43,700,350 21,850,175 65,550,526 32,775,263 98,325,790 49,162,895 147,488,686 73,744,343 221,233,030 110,616,515 331,849,546 165,924,773 497,774,320 248,887,160 124,443,580 62,221,790 31,110,895 93,332,686 46,666,343 139,999,030 69,999,515 209,998,546 104,999,273 314,997,820 157,498,910 78,749,455 236,248,366 118,124,183 354,372,550 177,186,275 531,558,826 265,779,413 797,338,240 398,669,120 199,334,560 99,667,280 49,833,640 24,916,820 12,458,410 6,229,205 18,687,616 9,343,808 4,671,904 2,335,952 1,167,976 583,988 291,994 145,997 437,992 218,996 109,498 54,749

More profiles

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