λ
Sigma Notebook

2,629,656

23 × 32 × 36523
Abundant Even Composite

2,629,656 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 36523 and its 24 divisors sum to 7,122,180.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 36523
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,122,180
Proper Divisor Sum 4,492,524
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2629651 ← → #2629661

Radix Representation

Decimal 2629656
Binary 1010000010000000011000 (22 bits)
Octal 0o12020030
Hexadecimal 0x282018

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 36,523 73,046 109,569 146,092 219,138 292,184 328,707 438,276 657,414 876,552 1,314,828 2,629,656

Collatz Trajectory (143 steps to reach 1)

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

2,629,656 1,314,828 657,414 328,707 986,122 493,061 1,479,184 739,592 369,796 184,898 92,449 277,348 138,674 69,337 208,012 104,006 52,003 156,010 78,005 234,016 117,008 58,504 29,252 14,626 7,313 21,940 10,970 5,485 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466

More profiles

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