λ
Integer Codex

2,938,285

5 × 72 × 67 × 179
Deficient Odd Composite

For 2,938,285, the 24 positive divisors have a total of 4,186,080. Removing 2,938,285 leaves 1,247,795, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7^2 × 67 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,186,080
Proper Divisor Sum 1,247,795
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2938279 ← → #2938291

Radix Representation

Decimal 2938285
Binary 1011001101010110101101 (22 bits)
Octal 0o13152655
Hexadecimal 0x2CD5AD

Divisor Catalog (24)

1 5 7 35 49 67 179 245 335 469 895 1,253 2,345 3,283 6,265 8,771 11,993 16,415 43,855 59,965 83,951 419,755 587,657 2,938,285

Collatz Trajectory (182 steps to reach 1)

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

2,938,285 8,814,856 4,407,428 2,203,714 1,101,857 3,305,572 1,652,786 826,393 2,479,180 1,239,590 619,795 1,859,386 929,693 2,789,080 1,394,540 697,270 348,635 1,045,906 522,953 1,568,860 784,430 392,215 1,176,646 588,323 1,764,970 882,485 2,647,456 1,323,728 661,864 330,932 165,466 82,733 248,200 124,100 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518

More profiles

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