λ
Math Directory

4,727,510

2 × 5 × 472751
Deficient Even Composite

4,727,510 factors as 2 × 5 × 472751. Its 8 positive divisors give a proper-divisor sum of 3,782,026, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5 × 472751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,509,536
Proper Divisor Sum 3,782,026
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4727501 ← → #4727519

Radix Representation

Decimal 4727510
Binary 10010000010001011010110 (23 bits)
Octal 0o22021326
Hexadecimal 0x4822D6

Divisor Catalog (8)

1 2 5 10 472,751 945,502 2,363,755 4,727,510

Collatz Trajectory (123 steps to reach 1)

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

4,727,510 2,363,755 7,091,266 3,545,633 10,636,900 5,318,450 2,659,225 7,977,676 3,988,838 1,994,419 5,983,258 2,991,629 8,974,888 4,487,444 2,243,722 1,121,861 3,365,584 1,682,792 841,396 420,698 210,349 631,048 315,524 157,762 78,881 236,644 118,322 59,161 177,484 88,742 44,371 133,114 66,557 199,672 99,836 49,918 24,959 74,878 37,439 112,318 56,159 168,478 84,239 252,718 126,359 379,078 189,539 568,618 284,309 852,928 426,464 213,232 106,616 53,308 26,654 13,327 39,982 19,991 59,974 29,987

More profiles

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