λ
Prime Ledger

4,013,370

2 × 32 × 5 × 19 × 2347
Abundant Even Composite

4,013,370 has the prime decomposition 2 × 3^2 × 5 × 19 × 2347. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 2347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,988,640
Proper Divisor Sum 6,975,270
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4013369 ← → #4013407

Radix Representation

Decimal 4013370
Binary 1111010011110100111010 (22 bits)
Octal 0o17236472
Hexadecimal 0x3D3D3A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1,710 2,347 4,694 7,041 11,735 14,082 21,123 23,470 35,205 42,246 44,593 70,410 89,186 105,615 133,779 211,230 222,965 267,558 401,337 445,930 668,895 802,674 1,337,790 2,006,685 4,013,370

Collatz Trajectory (167 steps to reach 1)

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

4,013,370 2,006,685 6,020,056 3,010,028 1,505,014 752,507 2,257,522 1,128,761 3,386,284 1,693,142 846,571 2,539,714 1,269,857 3,809,572 1,904,786 952,393 2,857,180 1,428,590 714,295 2,142,886 1,071,443 3,214,330 1,607,165 4,821,496 2,410,748 1,205,374 602,687 1,808,062 904,031 2,712,094 1,356,047 4,068,142 2,034,071 6,102,214 3,051,107 9,153,322 4,576,661 13,729,984 6,864,992 3,432,496 1,716,248 858,124 429,062 214,531 643,594 321,797 965,392 482,696 241,348 120,674 60,337 181,012 90,506 45,253 135,760 67,880 33,940 16,970 8,485 25,456

More profiles

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