λ
Integer Codex

4,102,163

13 × 315551
Deficient Odd Composite

For 4,102,163, the 4 positive divisors have a total of 4,417,728. Removing 4,102,163 leaves 315,565, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 315551
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,417,728
Proper Divisor Sum 315,565
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4102141 ← → #4102169

Radix Representation

Decimal 4102163
Binary 1111101001100000010011 (22 bits)
Octal 0o17514023
Hexadecimal 0x3E9813

Divisor Catalog (4)

1 13 315,551 4,102,163

Collatz Trajectory (79 steps to reach 1)

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

4,102,163 12,306,490 6,153,245 18,459,736 9,229,868 4,614,934 2,307,467 6,922,402 3,461,201 10,383,604 5,191,802 2,595,901 7,787,704 3,893,852 1,946,926 973,463 2,920,390 1,460,195 4,380,586 2,190,293 6,570,880 3,285,440 1,642,720 821,360 410,680 205,340 102,670 51,335 154,006 77,003 231,010 115,505 346,516 173,258 86,629 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724

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