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Atlas › Integer Profiles › Node 4,494,776

4,494,776

23 × 11 × 13 × 3929
Abundant Even Composite

4,494,776 factors as 2^3 × 11 × 13 × 3929. Its 32 positive divisors give a proper-divisor sum of 5,408,824, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 3929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,903,600
Proper Divisor Sum 5,408,824
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4494769 ← → #4494781

Radix Representation

Decimal 4494776
Binary 10001001001010110111000 (23 bits)
Octal 0o21112670
Hexadecimal 0x4495B8

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 3,929 7,858 15,716 31,432 43,219 51,077 86,438 102,154 172,876 204,308 345,752 408,616 561,847 1,123,694 2,247,388 4,494,776

Collatz Trajectory (110 steps to reach 1)

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

4,494,776 2,247,388 1,123,694 561,847 1,685,542 842,771 2,528,314 1,264,157 3,792,472 1,896,236 948,118 474,059 1,422,178 711,089 2,133,268 1,066,634 533,317 1,599,952 799,976 399,988 199,994 99,997 299,992 149,996 74,998 37,499 112,498 56,249 168,748 84,374 42,187 126,562 63,281 189,844 94,922 47,461 142,384 71,192 35,596 17,798 8,899 26,698 13,349 40,048 20,024 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

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