λ
Prime Ledger

7,366,014

2 × 32 × 229 × 1787
Abundant Even Composite

7,366,014 has the prime decomposition 2 × 3^2 × 229 × 1787. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 229 × 1787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,038,360
Proper Divisor Sum 8,672,346
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7366013 ← → #7366033

Radix Representation

Decimal 7366014
Binary 11100000110010101111110 (23 bits)
Octal 0o34062576
Hexadecimal 0x70657E

Divisor Catalog (24)

1 2 3 6 9 18 229 458 687 1,374 1,787 2,061 3,574 4,122 5,361 10,722 16,083 32,166 409,223 818,446 1,227,669 2,455,338 3,683,007 7,366,014

Collatz Trajectory (279 steps to reach 1)

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

7,366,014 3,683,007 11,049,022 5,524,511 16,573,534 8,286,767 24,860,302 12,430,151 37,290,454 18,645,227 55,935,682 27,967,841 83,903,524 41,951,762 20,975,881 62,927,644 31,463,822 15,731,911 47,195,734 23,597,867 70,793,602 35,396,801 106,190,404 53,095,202 26,547,601 79,642,804 39,821,402 19,910,701 59,732,104 29,866,052 14,933,026 7,466,513 22,399,540 11,199,770 5,599,885 16,799,656 8,399,828 4,199,914 2,099,957 6,299,872 3,149,936 1,574,968 787,484 393,742 196,871 590,614 295,307 885,922 442,961 1,328,884 664,442 332,221 996,664 498,332 249,166 124,583 373,750 186,875 560,626 280,313

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