λ
Prime Ledger

4,458,476

22 × 11 × 107 × 947
Deficient Even Composite

4,458,476 has the prime decomposition 2^2 × 11 × 107 × 947. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 107 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,600,256
Proper Divisor Sum 4,141,780
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4458473 ← → #4458491

Radix Representation

Decimal 4458476
Binary 10001000000011111101100 (23 bits)
Octal 0o21003754
Hexadecimal 0x4407EC

Divisor Catalog (24)

1 2 4 11 22 44 107 214 428 947 1,177 1,894 2,354 3,788 4,708 10,417 20,834 41,668 101,329 202,658 405,316 1,114,619 2,229,238 4,458,476

Collatz Trajectory (162 steps to reach 1)

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

4,458,476 2,229,238 1,114,619 3,343,858 1,671,929 5,015,788 2,507,894 1,253,947 3,761,842 1,880,921 5,642,764 2,821,382 1,410,691 4,232,074 2,116,037 6,348,112 3,174,056 1,587,028 793,514 396,757 1,190,272 595,136 297,568 148,784 74,392 37,196 18,598 9,299 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715

More profiles

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