824,278

2 × 7² × 13 × 647

For 824,278, the 24 positive divisors have a total of 1,551,312. Removing 824,278 leaves 727,034, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,551,312

Proper Divisor Sum 727,034

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #824269 ← → #824281

Radix Representation

Decimal	824278
Binary	11001001001111010110 (20 bits)
Octal	0o3111726
Hexadecimal	0xC93D6

Divisor Catalog (24)

1 2 7 13 14 26 49 91 98 182 637 647 1,274 1,294 4,529 8,411 9,058 16,822 31,703 58,877 63,406 117,754 412,139 824,278

Collatz Trajectory (144 steps to reach 1)

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

824,278 412,139 1,236,418 618,209 1,854,628 927,314 463,657 1,390,972 695,486 347,743 1,043,230 521,615 1,564,846 782,423 2,347,270 1,173,635 3,520,906 1,760,453 5,281,360 2,640,680 1,320,340 660,170 330,085 990,256 495,128 247,564 123,782 61,891 185,674 92,837 278,512 139,256 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916 250,958 125,479 376,438 188,219

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