λ
Harmonic Matrix

8,996,082

2 × 3 × 19 × 23 × 47 × 73
Abundant Even Composite

8,996,082 has digital root 6. The neighboring primes are 8996047 and 8996083; its proper-divisor sum differs from the starting integer by 2,467,356.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 23 × 47 × 73
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,459,520
Proper Divisor Sum 11,463,438
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8996047 ← → #8996083

Radix Representation

Decimal 8996082
Binary 100010010100010011110010 (24 bits)
Octal 0o42242362
Hexadecimal 0x8944F2

Divisor Catalog (60 of 64)

1 2 3 6 19 23 38 46 47 57 69 73 94 114 138 141 146 219 282 437 438 874 893 1,081 1,311 1,387 1,679 1,786 2,162 2,622 2,679 2,774 3,243 3,358 3,431 4,161 5,037 5,358 6,486 6,862 8,322 10,074 10,293 20,539 20,586 31,901 41,078 61,617 63,802 65,189 78,913 95,703 123,234 130,378 157,826 191,406 195,567 236,739 391,134 473,478

Collatz Trajectory (137 steps to reach 1)

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

8,996,082 4,498,041 13,494,124 6,747,062 3,373,531 10,120,594 5,060,297 15,180,892 7,590,446 3,795,223 11,385,670 5,692,835 17,078,506 8,539,253 25,617,760 12,808,880 6,404,440 3,202,220 1,601,110 800,555 2,401,666 1,200,833 3,602,500 1,801,250 900,625 2,701,876 1,350,938 675,469 2,026,408 1,013,204 506,602 253,301 759,904 379,952 189,976 94,988 47,494 23,747 71,242 35,621 106,864 53,432 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586

More profiles

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