λ
Prime Ledger

4,043,010

2 × 3 × 5 × 19 × 41 × 173
Abundant Even Composite

4,043,010 has the prime decomposition 2 × 3 × 5 × 19 × 41 × 173. Its 6 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 41 × 173
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,523,520
Proper Divisor Sum 6,480,510
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #4042993 ← → #4043023

Radix Representation

Decimal 4043010
Binary 1111011011000100000010 (22 bits)
Octal 0o17330402
Hexadecimal 0x3DB102

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 173 190 205 246 285 346 410 519 570 615 779 865 1,038 1,230 1,558 1,730 2,337 2,595 3,287 3,895 4,674 5,190 6,574 7,093 7,790 9,861 11,685 14,186 16,435 19,722 21,279 23,370 32,870 35,465 42,558 49,305 70,930 98,610 106,395 134,767 212,790 269,534 404,301 673,835

Collatz Trajectory (84 steps to reach 1)

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

4,043,010 2,021,505 6,064,516 3,032,258 1,516,129 4,548,388 2,274,194 1,137,097 3,411,292 1,705,646 852,823 2,558,470 1,279,235 3,837,706 1,918,853 5,756,560 2,878,280 1,439,140 719,570 359,785 1,079,356 539,678 269,839 809,518 404,759 1,214,278 607,139 1,821,418 910,709 2,732,128 1,366,064 683,032 341,516 170,758 85,379 256,138 128,069 384,208 192,104 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713

More profiles

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