4,972,484

2² × 11 × 113011

4,972,484 factors as 2^2 × 11 × 113011. Its 12 positive divisors give a proper-divisor sum of 4,520,524, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 113011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,493,008

Proper Divisor Sum 4,520,524

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4972481 ← → #4972501

Radix Representation

Decimal	4972484
Binary	10010111101111111000100 (23 bits)
Octal	0o22757704
Hexadecimal	0x4BDFC4

Divisor Catalog (12)

1 2 4 11 22 44 113,011 226,022 452,044 1,243,121 2,486,242 4,972,484

Collatz Trajectory (237 steps to reach 1)

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

4,972,484 2,486,242 1,243,121 3,729,364 1,864,682 932,341 2,797,024 1,398,512 699,256 349,628 174,814 87,407 262,222 131,111 393,334 196,667 590,002 295,001 885,004 442,502 221,251 663,754 331,877 995,632 497,816 248,908 124,454 62,227 186,682 93,341 280,024 140,012 70,006 35,003 105,010 52,505 157,516 78,758 39,379 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257

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