λ
Integer Codex

8,996,823

32 × 11 × 19 × 4783
Deficient Odd Composite

For 8,996,823, the 24 positive divisors have a total of 14,926,080. Removing 8,996,823 leaves 5,929,257, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 11 × 19 × 4783
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,926,080
Proper Divisor Sum 5,929,257
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8996797 ← → #8996831

Radix Representation

Decimal 8996823
Binary 100010010100011111010111 (24 bits)
Octal 0o42243727
Hexadecimal 0x8947D7

Divisor Catalog (24)

1 3 9 11 19 33 57 99 171 209 627 1,881 4,783 14,349 43,047 52,613 90,877 157,839 272,631 473,517 817,893 999,647 2,998,941 8,996,823

Collatz Trajectory (181 steps to reach 1)

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

8,996,823 26,990,470 13,495,235 40,485,706 20,242,853 60,728,560 30,364,280 15,182,140 7,591,070 3,795,535 11,386,606 5,693,303 17,079,910 8,539,955 25,619,866 12,809,933 38,429,800 19,214,900 9,607,450 4,803,725 14,411,176 7,205,588 3,602,794 1,801,397 5,404,192 2,702,096 1,351,048 675,524 337,762 168,881 506,644 253,322 126,661 379,984 189,992 94,996 47,498 23,749 71,248 35,624 17,812 8,906 4,453 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265

More profiles

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