λ
Sigma Notebook

2,653,136

24 × 79 × 2099
Deficient Even Composite

2,653,136 is even and not a perfect square. Its factorization is 2^4 × 79 × 2099 and its 20 divisors sum to 5,208,000.

Prime Factor Structure

Factorization String 2^4 × 79 × 2099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,208,000
Proper Divisor Sum 2,554,864
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2653121 ← → #2653187

Radix Representation

Decimal 2653136
Binary 1010000111101111010000 (22 bits)
Octal 0o12075720
Hexadecimal 0x287BD0

Divisor Catalog (20)

1 2 4 8 16 79 158 316 632 1,264 2,099 4,198 8,396 16,792 33,584 165,821 331,642 663,284 1,326,568 2,653,136

Collatz Trajectory (187 steps to reach 1)

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

2,653,136 1,326,568 663,284 331,642 165,821 497,464 248,732 124,366 62,183 186,550 93,275 279,826 139,913 419,740 209,870 104,935 314,806 157,403 472,210 236,105 708,316 354,158 177,079 531,238 265,619 796,858 398,429 1,195,288 597,644 298,822 149,411 448,234 224,117 672,352 336,176 168,088 84,044 42,022 21,011 63,034 31,517 94,552 47,276 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806

More profiles

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