λ
Sigma Notebook

5,152,488

23 × 3 × 11 × 29 × 673
Abundant Even Composite

5,152,488 is even and not a perfect square. Its factorization is 2^3 × 3 × 11 × 29 × 673 and its 64 divisors sum to 14,558,400.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 29 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,558,400
Proper Divisor Sum 9,405,912
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5152481 ← → #5152493

Radix Representation

Decimal 5152488
Binary 10011101001111011101000 (23 bits)
Octal 0o23517350
Hexadecimal 0x4E9EE8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 673 696 957 1,276 1,346 1,914 2,019 2,552 2,692 3,828 4,038 5,384 7,403 7,656 8,076 14,806 16,152 19,517 22,209 29,612 39,034 44,418 58,551 59,224 78,068 88,836 117,102 156,136 177,672 214,687 234,204 429,374 468,408 644,061 858,748

Collatz Trajectory (126 steps to reach 1)

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

5,152,488 2,576,244 1,288,122 644,061 1,932,184 966,092 483,046 241,523 724,570 362,285 1,086,856 543,428 271,714 135,857 407,572 203,786 101,893 305,680 152,840 76,420 38,210 19,105 57,316 28,658 14,329 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453

More profiles

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