λ
Integer Codex

3,237,615

32 × 5 × 71947
Deficient Odd Composite

For 3,237,615, the 12 positive divisors have a total of 5,611,944. Removing 3,237,615 leaves 2,374,329, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 71947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,611,944
Proper Divisor Sum 2,374,329
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3237607 ← → #3237617

Radix Representation

Decimal 3237615
Binary 1100010110011011101111 (22 bits)
Octal 0o14263357
Hexadecimal 0x3166EF

Divisor Catalog (12)

1 3 5 9 15 45 71,947 215,841 359,735 647,523 1,079,205 3,237,615

Collatz Trajectory (195 steps to reach 1)

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

3,237,615 9,712,846 4,856,423 14,569,270 7,284,635 21,853,906 10,926,953 32,780,860 16,390,430 8,195,215 24,585,646 12,292,823 36,878,470 18,439,235 55,317,706 27,658,853 82,976,560 41,488,280 20,744,140 10,372,070 5,186,035 15,558,106 7,779,053 23,337,160 11,668,580 5,834,290 2,917,145 8,751,436 4,375,718 2,187,859 6,563,578 3,281,789 9,845,368 4,922,684 2,461,342 1,230,671 3,692,014 1,846,007 5,538,022 2,769,011 8,307,034 4,153,517 12,460,552 6,230,276 3,115,138 1,557,569 4,672,708 2,336,354 1,168,177 3,504,532 1,752,266 876,133 2,628,400 1,314,200 657,100 328,550 164,275 492,826 246,413 739,240

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