λ
Harmonic Matrix

6,155,046

2 × 32 × 341947
Abundant Even Composite

6,155,046 has digital root 9. The neighboring primes are 6155033 and 6155077; its proper-divisor sum differs from the starting integer by 1,025,880.

Prime Factor Structure

Factorization String 2 × 3^2 × 341947
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,335,972
Proper Divisor Sum 7,180,926
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6155033 ← → #6155077

Radix Representation

Decimal 6155046
Binary 10111011110101100100110 (23 bits)
Octal 0o27365446
Hexadecimal 0x5DEB26

Divisor Catalog (12)

1 2 3 6 9 18 341,947 683,894 1,025,841 2,051,682 3,077,523 6,155,046

Collatz Trajectory (90 steps to reach 1)

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

6,155,046 3,077,523 9,232,570 4,616,285 13,848,856 6,924,428 3,462,214 1,731,107 5,193,322 2,596,661 7,789,984 3,894,992 1,947,496 973,748 486,874 243,437 730,312 365,156 182,578 91,289 273,868 136,934 68,467 205,402 102,701 308,104 154,052 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

More profiles

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