λ
Sigma Notebook

8,576,672

25 × 13 × 53 × 389
Abundant Even Composite

8,576,672 is even and not a perfect square. Its factorization is 2^5 × 13 × 53 × 389 and its 48 divisors sum to 18,574,920.

Prime Factor Structure

Factorization String 2^5 × 13 × 53 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,574,920
Proper Divisor Sum 9,998,248
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8576671 ← → #8576681

Radix Representation

Decimal 8576672
Binary 100000101101111010100000 (24 bits)
Octal 0o40557240
Hexadecimal 0x82DEA0

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 53 104 106 208 212 389 416 424 689 778 848 1,378 1,556 1,696 2,756 3,112 5,057 5,512 6,224 10,114 11,024 12,448 20,228 20,617 22,048 40,456 41,234 80,912 82,468 161,824 164,936 268,021 329,872 536,042 659,744 1,072,084 2,144,168 4,288,336 8,576,672

Collatz Trajectory (75 steps to reach 1)

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

8,576,672 4,288,336 2,144,168 1,072,084 536,042 268,021 804,064 402,032 201,016 100,508 50,254 25,127 75,382 37,691 113,074 56,537 169,612 84,806 42,403 127,210 63,605 190,816 95,408 47,704 23,852 11,926 5,963 17,890 8,945 26,836 13,418 6,709 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

More profiles

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