λ
Integer Codex

1,640,756

22 × 13 × 139 × 227
Deficient Even Composite

For 1,640,756, the 24 positive divisors have a total of 3,128,160. Removing 1,640,756 leaves 1,487,404, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 139 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,128,160
Proper Divisor Sum 1,487,404
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1640753 ← → #1640761

Radix Representation

Decimal 1640756
Binary 110010000100100110100 (21 bits)
Octal 0o6204464
Hexadecimal 0x190934

Divisor Catalog (24)

1 2 4 13 26 52 139 227 278 454 556 908 1,807 2,951 3,614 5,902 7,228 11,804 31,553 63,106 126,212 410,189 820,378 1,640,756

Collatz Trajectory (168 steps to reach 1)

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

1,640,756 820,378 410,189 1,230,568 615,284 307,642 153,821 461,464 230,732 115,366 57,683 173,050 86,525 259,576 129,788 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444

More profiles

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