λ
Prime Ledger

4,776,736

25 × 113 × 1321
Deficient Even Composite

4,776,736 has the prime decomposition 2^5 × 113 × 1321. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 113 × 1321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,494,604
Proper Divisor Sum 4,717,868
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4776721 ← → #4776749

Radix Representation

Decimal 4776736
Binary 10010001110001100100000 (23 bits)
Octal 0o22161440
Hexadecimal 0x48E320

Divisor Catalog (24)

1 2 4 8 16 32 113 226 452 904 1,321 1,808 2,642 3,616 5,284 10,568 21,136 42,272 149,273 298,546 597,092 1,194,184 2,388,368 4,776,736

Collatz Trajectory (100 steps to reach 1)

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

4,776,736 2,388,368 1,194,184 597,092 298,546 149,273 447,820 223,910 111,955 335,866 167,933 503,800 251,900 125,950 62,975 188,926 94,463 283,390 141,695 425,086 212,543 637,630 318,815 956,446 478,223 1,434,670 717,335 2,152,006 1,076,003 3,228,010 1,614,005 4,842,016 2,421,008 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050

More profiles

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