λ
Harmonic Matrix

6,387,156

22 × 32 × 177421
Abundant Even Composite

6,387,156 has digital root 9. The neighboring primes are 6387131 and 6387179; its proper-divisor sum differs from the starting integer by 3,371,090.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 177421
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 16,145,402
Proper Divisor Sum 9,758,246
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6387131 ← → #6387179

Radix Representation

Decimal 6387156
Binary 11000010111010111010100 (23 bits)
Octal 0o30272724
Hexadecimal 0x6175D4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 177,421 354,842 532,263 709,684 1,064,526 1,596,789 2,129,052 3,193,578 6,387,156

Collatz Trajectory (209 steps to reach 1)

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

6,387,156 3,193,578 1,596,789 4,790,368 2,395,184 1,197,592 598,796 299,398 149,699 449,098 224,549 673,648 336,824 168,412 84,206 42,103 126,310 63,155 189,466 94,733 284,200 142,100 71,050 35,525 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767

More profiles

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