λ
Sigma Notebook

8,528,692

22 × 89 × 23957
Deficient Even Composite

8,528,692 is even and not a perfect square. Its factorization is 2^2 × 89 × 23957 and its 12 divisors sum to 15,093,540.

Prime Factor Structure

Factorization String 2^2 × 89 × 23957
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,093,540
Proper Divisor Sum 6,564,848
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8528687 ← → #8528693

Radix Representation

Decimal 8528692
Binary 100000100010001100110100 (24 bits)
Octal 0o40421464
Hexadecimal 0x822334

Divisor Catalog (12)

1 2 4 89 178 356 23,957 47,914 95,828 2,132,173 4,264,346 8,528,692

Collatz Trajectory (212 steps to reach 1)

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

8,528,692 4,264,346 2,132,173 6,396,520 3,198,260 1,599,130 799,565 2,398,696 1,199,348 599,674 299,837 899,512 449,756 224,878 112,439 337,318 168,659 505,978 252,989 758,968 379,484 189,742 94,871 284,614 142,307 426,922 213,461 640,384 320,192 160,096 80,048 40,024 20,012 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022

More profiles

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