λ
Integer Codex

7,162,823

41 × 174703
Deficient Odd Composite

For 7,162,823, the 4 positive divisors have a total of 7,337,568. Removing 7,162,823 leaves 174,745, which gives the deficient classification.

Prime Factor Structure

Factorization String 41 × 174703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,337,568
Proper Divisor Sum 174,745
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7162807 ← → #7162843

Radix Representation

Decimal 7162823
Binary 11011010100101111000111 (23 bits)
Octal 0o33245707
Hexadecimal 0x6D4BC7

Divisor Catalog (4)

1 41 174,703 7,162,823

Collatz Trajectory (147 steps to reach 1)

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

7,162,823 21,488,470 10,744,235 32,232,706 16,116,353 48,349,060 24,174,530 12,087,265 36,261,796 18,130,898 9,065,449 27,196,348 13,598,174 6,799,087 20,397,262 10,198,631 30,595,894 15,297,947 45,893,842 22,946,921 68,840,764 34,420,382 17,210,191 51,630,574 25,815,287 77,445,862 38,722,931 116,168,794 58,084,397 174,253,192 87,126,596 43,563,298 21,781,649 65,344,948 32,672,474 16,336,237 49,008,712 24,504,356 12,252,178 6,126,089 18,378,268 9,189,134 4,594,567 13,783,702 6,891,851 20,675,554 10,337,777 31,013,332 15,506,666 7,753,333 23,260,000 11,630,000 5,815,000 2,907,500 1,453,750 726,875 2,180,626 1,090,313 3,270,940 1,635,470

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