λ
Harmonic Matrix

3,755,256

23 × 3 × 23 × 6803
Abundant Even Composite

3,755,256 has digital root 6. The neighboring primes are 3755243 and 3755267; its proper-divisor sum differs from the starting integer by 2,287,248.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 6803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,797,760
Proper Divisor Sum 6,042,504
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3755243 ← → #3755267

Radix Representation

Decimal 3755256
Binary 1110010100110011111000 (22 bits)
Octal 0o16246370
Hexadecimal 0x394CF8

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 6,803 13,606 20,409 27,212 40,818 54,424 81,636 156,469 163,272 312,938 469,407 625,876 938,814 1,251,752 1,877,628 3,755,256

Collatz Trajectory (133 steps to reach 1)

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

3,755,256 1,877,628 938,814 469,407 1,408,222 704,111 2,112,334 1,056,167 3,168,502 1,584,251 4,752,754 2,376,377 7,129,132 3,564,566 1,782,283 5,346,850 2,673,425 8,020,276 4,010,138 2,005,069 6,015,208 3,007,604 1,503,802 751,901 2,255,704 1,127,852 563,926 281,963 845,890 422,945 1,268,836 634,418 317,209 951,628 475,814 237,907 713,722 356,861 1,070,584 535,292 267,646 133,823 401,470 200,735 602,206 301,103 903,310 451,655 1,354,966 677,483 2,032,450 1,016,225 3,048,676 1,524,338 762,169 2,286,508 1,143,254 571,627 1,714,882 857,441

More profiles

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