λ
Harmonic Matrix

2,918,682

2 × 32 × 13 × 12473
Abundant Even Composite

2,918,682 has digital root 9. The neighboring primes are 2918621 and 2918689; its proper-divisor sum differs from the starting integer by 973,440.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 12473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,810,804
Proper Divisor Sum 3,892,122
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2918621 ← → #2918689

Radix Representation

Decimal 2918682
Binary 1011001000100100011010 (22 bits)
Octal 0o13104432
Hexadecimal 0x2C891A

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 12,473 24,946 37,419 74,838 112,257 162,149 224,514 324,298 486,447 972,894 1,459,341 2,918,682

Collatz Trajectory (182 steps to reach 1)

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

2,918,682 1,459,341 4,378,024 2,189,012 1,094,506 547,253 1,641,760 820,880 410,440 205,220 102,610 51,305 153,916 76,958 38,479 115,438 57,719 173,158 86,579 259,738 129,869 389,608 194,804 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515

More profiles

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