λ
Prime Ledger

2,972,214

2 × 34 × 7 × 2621
Abundant Even Composite

2,972,214 has the prime decomposition 2 × 3^4 × 7 × 2621. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 2621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,614,288
Proper Divisor Sum 4,642,074
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2972197 ← → #2972219

Radix Representation

Decimal 2972214
Binary 1011010101101000110110 (22 bits)
Octal 0o13255066
Hexadecimal 0x2D5A36

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 2,621 5,242 7,863 15,726 18,347 23,589 36,694 47,178 55,041 70,767 110,082 141,534 165,123 212,301 330,246 424,602 495,369 990,738 1,486,107 2,972,214

Collatz Trajectory (226 steps to reach 1)

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

2,972,214 1,486,107 4,458,322 2,229,161 6,687,484 3,343,742 1,671,871 5,015,614 2,507,807 7,523,422 3,761,711 11,285,134 5,642,567 16,927,702 8,463,851 25,391,554 12,695,777 38,087,332 19,043,666 9,521,833 28,565,500 14,282,750 7,141,375 21,424,126 10,712,063 32,136,190 16,068,095 48,204,286 24,102,143 72,306,430 36,153,215 108,459,646 54,229,823 162,689,470 81,344,735 244,034,206 122,017,103 366,051,310 183,025,655 549,076,966 274,538,483 823,615,450 411,807,725 1,235,423,176 617,711,588 308,855,794 154,427,897 463,283,692 231,641,846 115,820,923 347,462,770 173,731,385 521,194,156 260,597,078 130,298,539 390,895,618 195,447,809 586,343,428 293,171,714 146,585,857

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