λ
Integer Codex

249,821

11 × 13 × 1747
Deficient Odd Composite

For 249,821, the 8 positive divisors have a total of 293,664. Removing 249,821 leaves 43,843, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 13 × 1747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 293,664
Proper Divisor Sum 43,843
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #249811 ← → #249827

Radix Representation

Decimal 249821
Binary 111100111111011101 (18 bits)
Octal 0o747735
Hexadecimal 0x3CFDD

Divisor Catalog (8)

1 11 13 143 1,747 19,217 22,711 249,821

Collatz Trajectory (181 steps to reach 1)

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

249,821 749,464 374,732 187,366 93,683 281,050 140,525 421,576 210,788 105,394 52,697 158,092 79,046 39,523 118,570 59,285 177,856 88,928 44,464 22,232 11,116 5,558 2,779 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265

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