λ
Sigma Notebook

2,518,152

23 × 3 × 7 × 13 × 1153
Abundant Even Composite

2,518,152 is even and not a perfect square. Its factorization is 2^3 × 3 × 7 × 13 × 1153 and its 64 divisors sum to 7,754,880.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 1153
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,754,880
Proper Divisor Sum 5,236,728
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2518151 ← → #2518163

Radix Representation

Decimal 2518152
Binary 1001100110110010001000 (22 bits)
Octal 0o11466210
Hexadecimal 0x266C88

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1,092 1,153 2,184 2,306 3,459 4,612 6,918 8,071 9,224 13,836 14,989 16,142 24,213 27,672 29,978 32,284 44,967 48,426 59,956 64,568 89,934 96,852 104,923 119,912 179,868 193,704 209,846 314,769 359,736 419,692

Collatz Trajectory (174 steps to reach 1)

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

2,518,152 1,259,076 629,538 314,769 944,308 472,154 236,077 708,232 354,116 177,058 88,529 265,588 132,794 66,397 199,192 99,596 49,798 24,899 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 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 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

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