λ
Sigma Notebook

7,867,688

23 × 983461
Deficient Even Composite

7,867,688 is even and not a perfect square. Its factorization is 2^3 × 983461 and its 8 divisors sum to 14,751,930.

Prime Factor Structure

Factorization String 2^3 × 983461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,751,930
Proper Divisor Sum 6,884,242
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #7867687 ← → #7867693

Radix Representation

Decimal 7867688
Binary 11110000000110100101000 (23 bits)
Octal 0o36006450
Hexadecimal 0x780D28

Divisor Catalog (8)

1 2 4 8 983,461 1,966,922 3,933,844 7,867,688

Collatz Trajectory (261 steps to reach 1)

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

7,867,688 3,933,844 1,966,922 983,461 2,950,384 1,475,192 737,596 368,798 184,399 553,198 276,599 829,798 414,899 1,244,698 622,349 1,867,048 933,524 466,762 233,381 700,144 350,072 175,036 87,518 43,759 131,278 65,639 196,918 98,459 295,378 147,689 443,068 221,534 110,767 332,302 166,151 498,454 249,227 747,682 373,841 1,121,524 560,762 280,381 841,144 420,572 210,286 105,143 315,430 157,715 473,146 236,573 709,720 354,860 177,430 88,715 266,146 133,073 399,220 199,610 99,805 299,416

More profiles

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