λ
Sigma Notebook

2,651,376

24 × 3 × 7 × 13 × 607
Abundant Even Composite

2,651,376 is even and not a perfect square. Its factorization is 2^4 × 3 × 7 × 13 × 607 and its 80 divisors sum to 8,443,904.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 8,443,904
Proper Divisor Sum 5,792,528
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2651359 ← → #2651377

Radix Representation

Decimal 2651376
Binary 1010000111010011110000 (22 bits)
Octal 0o12072360
Hexadecimal 0x2874F0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 607 624 728 1,092 1,214 1,456 1,821 2,184 2,428 3,642 4,249 4,368 4,856 7,284 7,891 8,498 9,712 12,747 14,568 15,782 16,996 23,673 25,494 29,136 31,564 33,992

Collatz Trajectory (156 steps to reach 1)

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

2,651,376 1,325,688 662,844 331,422 165,711 497,134 248,567 745,702 372,851 1,118,554 559,277 1,677,832 838,916 419,458 209,729 629,188 314,594 157,297 471,892 235,946 117,973 353,920 176,960 88,480 44,240 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484

More profiles

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