λ
Harmonic Matrix

8,131,996

22 × 2032999
Deficient Even Composite

8,131,996 has digital root 1. The neighboring primes are 8131993 and 8131997; its proper-divisor sum differs from the starting integer by -2,032,992.

Prime Factor Structure

Factorization String 2^2 × 2032999
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,231,000
Proper Divisor Sum 6,099,004
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8131993 ← → #8131997

Radix Representation

Decimal 8131996
Binary 11111000001010110011100 (23 bits)
Octal 0o37012634
Hexadecimal 0x7C159C

Divisor Catalog (6)

1 2 4 2,032,999 4,065,998 8,131,996

Collatz Trajectory (248 steps to reach 1)

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

8,131,996 4,065,998 2,032,999 6,098,998 3,049,499 9,148,498 4,574,249 13,722,748 6,861,374 3,430,687 10,292,062 5,146,031 15,438,094 7,719,047 23,157,142 11,578,571 34,735,714 17,367,857 52,103,572 26,051,786 13,025,893 39,077,680 19,538,840 9,769,420 4,884,710 2,442,355 7,327,066 3,663,533 10,990,600 5,495,300 2,747,650 1,373,825 4,121,476 2,060,738 1,030,369 3,091,108 1,545,554 772,777 2,318,332 1,159,166 579,583 1,738,750 869,375 2,608,126 1,304,063 3,912,190 1,956,095 5,868,286 2,934,143 8,802,430 4,401,215 13,203,646 6,601,823 19,805,470 9,902,735 29,708,206 14,854,103 44,562,310 22,281,155 66,843,466

More profiles

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