λ
Sigma Notebook

4,041,450

2 × 32 × 52 × 7 × 1283
Abundant Even Composite

4,041,450 is even and not a perfect square. Its factorization is 2 × 3^2 × 5^2 × 7 × 1283 and its 72 divisors sum to 12,418,848.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 7 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,418,848
Proper Divisor Sum 8,377,398
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4041437 ← → #4041467

Radix Representation

Decimal 4041450
Binary 1111011010101011101010 (22 bits)
Octal 0o17325352
Hexadecimal 0x3DAAEA

Divisor Catalog (60 of 72)

1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1,050 1,283 1,575 2,566 3,150 3,849 6,415 7,698 8,981 11,547 12,830 17,962 19,245 23,094 26,943 32,075 38,490 44,905 53,886 57,735 64,150 80,829 89,810 96,225 115,470 134,715 161,658

Collatz Trajectory (84 steps to reach 1)

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

4,041,450 2,020,725 6,062,176 3,031,088 1,515,544 757,772 378,886 189,443 568,330 284,165 852,496 426,248 213,124 106,562 53,281 159,844 79,922 39,961 119,884 59,942 29,971 89,914 44,957 134,872 67,436 33,718 16,859 50,578 25,289 75,868 37,934 18,967 56,902 28,451 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 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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