λ
Sigma Notebook

5,056,542

2 × 32 × 43 × 47 × 139
Abundant Even Composite

5,056,542 is even and not a perfect square. Its factorization is 2 × 3^2 × 43 × 47 × 139 and its 48 divisors sum to 11,531,520.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 47 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,531,520
Proper Divisor Sum 6,474,978
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5056529 ← → #5056543

Radix Representation

Decimal 5056542
Binary 10011010010100000011110 (23 bits)
Octal 0o23224036
Hexadecimal 0x4D281E

Divisor Catalog (48)

1 2 3 6 9 18 43 47 86 94 129 139 141 258 278 282 387 417 423 774 834 846 1,251 2,021 2,502 4,042 5,977 6,063 6,533 11,954 12,126 13,066 17,931 18,189 19,599 35,862 36,378 39,198 53,793 58,797 107,586 117,594 280,919 561,838 842,757 1,685,514 2,528,271 5,056,542

Collatz Trajectory (105 steps to reach 1)

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

5,056,542 2,528,271 7,584,814 3,792,407 11,377,222 5,688,611 17,065,834 8,532,917 25,598,752 12,799,376 6,399,688 3,199,844 1,599,922 799,961 2,399,884 1,199,942 599,971 1,799,914 899,957 2,699,872 1,349,936 674,968 337,484 168,742 84,371 253,114 126,557 379,672 189,836 94,918 47,459 142,378 71,189 213,568 106,784 53,392 26,696 13,348 6,674 3,337 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350

More profiles

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