λ
Sigma Notebook

7,755,864

23 × 3 × 461 × 701
Abundant Even Composite

7,755,864 is even and not a perfect square. Its factorization is 2^3 × 3 × 461 × 701 and its 32 divisors sum to 19,459,440.

Prime Factor Structure

Factorization String 2^3 × 3 × 461 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,459,440
Proper Divisor Sum 11,703,576
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7755851 ← → #7755877

Radix Representation

Decimal 7755864
Binary 11101100101100001011000 (23 bits)
Octal 0o35454130
Hexadecimal 0x765858

Divisor Catalog (32)

1 2 3 4 6 8 12 24 461 701 922 1,383 1,402 1,844 2,103 2,766 2,804 3,688 4,206 5,532 5,608 8,412 11,064 16,824 323,161 646,322 969,483 1,292,644 1,938,966 2,585,288 3,877,932 7,755,864

Collatz Trajectory (173 steps to reach 1)

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

7,755,864 3,877,932 1,938,966 969,483 2,908,450 1,454,225 4,362,676 2,181,338 1,090,669 3,272,008 1,636,004 818,002 409,001 1,227,004 613,502 306,751 920,254 460,127 1,380,382 690,191 2,070,574 1,035,287 3,105,862 1,552,931 4,658,794 2,329,397 6,988,192 3,494,096 1,747,048 873,524 436,762 218,381 655,144 327,572 163,786 81,893 245,680 122,840 61,420 30,710 15,355 46,066 23,033 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198

More profiles

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