λ
Prime Ledger

2,632,596

22 × 3 × 79 × 2777
Abundant Even Composite

2,632,596 has the prime decomposition 2^2 × 3 × 79 × 2777. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 79 × 2777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,222,720
Proper Divisor Sum 3,590,124
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2632579 ← → #2632601

Radix Representation

Decimal 2632596
Binary 1010000010101110010100 (22 bits)
Octal 0o12025624
Hexadecimal 0x282B94

Divisor Catalog (24)

1 2 3 4 6 12 79 158 237 316 474 948 2,777 5,554 8,331 11,108 16,662 33,324 219,383 438,766 658,149 877,532 1,316,298 2,632,596

Collatz Trajectory (68 steps to reach 1)

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

2,632,596 1,316,298 658,149 1,974,448 987,224 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80

More profiles

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