λ
Harmonic Matrix

6,859,014

2 × 3 × 232 × 2161
Abundant Even Composite

6,859,014 has digital root 6. The neighboring primes are 6859009 and 6859031; its proper-divisor sum differs from the starting integer by 629,004.

Prime Factor Structure

Factorization String 2 × 3 × 23^2 × 2161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,347,032
Proper Divisor Sum 7,488,018
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6859009 ← → #6859031

Radix Representation

Decimal 6859014
Binary 11010001010100100000110 (23 bits)
Octal 0o32124406
Hexadecimal 0x68A906

Divisor Catalog (24)

1 2 3 6 23 46 69 138 529 1,058 1,587 2,161 3,174 4,322 6,483 12,966 49,703 99,406 149,109 298,218 1,143,169 2,286,338 3,429,507 6,859,014

Collatz Trajectory (103 steps to reach 1)

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

6,859,014 3,429,507 10,288,522 5,144,261 15,432,784 7,716,392 3,858,196 1,929,098 964,549 2,893,648 1,446,824 723,412 361,706 180,853 542,560 271,280 135,640 67,820 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

More profiles

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