λ
Integer Codex

1,632,585

3 × 5 × 127 × 857
Deficient Odd Composite

For 1,632,585, the 16 positive divisors have a total of 2,635,776. Removing 1,632,585 leaves 1,003,191, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 127 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,635,776
Proper Divisor Sum 1,003,191
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1632571 ← → #1632599

Radix Representation

Decimal 1632585
Binary 110001110100101001001 (21 bits)
Octal 0o6164511
Hexadecimal 0x18E949

Divisor Catalog (16)

1 3 5 15 127 381 635 857 1,905 2,571 4,285 12,855 108,839 326,517 544,195 1,632,585

Collatz Trajectory (176 steps to reach 1)

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

1,632,585 4,897,756 2,448,878 1,224,439 3,673,318 1,836,659 5,509,978 2,754,989 8,264,968 4,132,484 2,066,242 1,033,121 3,099,364 1,549,682 774,841 2,324,524 1,162,262 581,131 1,743,394 871,697 2,615,092 1,307,546 653,773 1,961,320 980,660 490,330 245,165 735,496 367,748 183,874 91,937 275,812 137,906 68,953 206,860 103,430 51,715 155,146 77,573 232,720 116,360 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358

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