λ
Integer Codex

1,941,315

3 × 5 × 17 × 23 × 331
Deficient Odd Composite

For 1,941,315, the 32 positive divisors have a total of 3,442,176. Removing 1,941,315 leaves 1,500,861, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 23 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,442,176
Proper Divisor Sum 1,500,861
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1941307 ← → #1941323

Radix Representation

Decimal 1941315
Binary 111011001111101000011 (21 bits)
Octal 0o7317503
Hexadecimal 0x1D9F43

Divisor Catalog (32)

1 3 5 15 17 23 51 69 85 115 255 331 345 391 993 1,173 1,655 1,955 4,965 5,627 5,865 7,613 16,881 22,839 28,135 38,065 84,405 114,195 129,421 388,263 647,105 1,941,315

Collatz Trajectory (91 steps to reach 1)

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

1,941,315 5,823,946 2,911,973 8,735,920 4,367,960 2,183,980 1,091,990 545,995 1,637,986 818,993 2,456,980 1,228,490 614,245 1,842,736 921,368 460,684 230,342 115,171 345,514 172,757 518,272 259,136 129,568 64,784 32,392 16,196 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

More profiles

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