λ
Sigma Notebook

2,395,512

23 × 32 × 73 × 97
Abundant Even Composite

2,395,512 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 7^3 × 97 and its 96 divisors sum to 7,644,000.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^3 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 7,644,000
Proper Divisor Sum 5,248,488
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2395511 ← → #2395529

Radix Representation

Decimal 2395512
Binary 1001001000110101111000 (22 bits)
Octal 0o11106570
Hexadecimal 0x248D78

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 97 98 126 147 168 194 196 252 291 294 343 388 392 441 504 582 588 679 686 776 873 882 1,029 1,164 1,176 1,358 1,372 1,746 1,764 2,037 2,058 2,328 2,716 2,744 3,087 3,492 3,528 4,074 4,116

Collatz Trajectory (117 steps to reach 1)

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

2,395,512 1,197,756 598,878 299,439 898,318 449,159 1,347,478 673,739 2,021,218 1,010,609 3,031,828 1,515,914 757,957 2,273,872 1,136,936 568,468 284,234 142,117 426,352 213,176 106,588 53,294 26,647 79,942 39,971 119,914 59,957 179,872 89,936 44,968 22,484 11,242 5,621 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425

More profiles

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