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Atlas › Integer Profiles › Node 4,487,252

4,487,252

22 × 7 × 11 × 17 × 857
Abundant Even Composite

4,487,252 factors as 2^2 × 7 × 11 × 17 × 857. Its 48 positive divisors give a proper-divisor sum of 5,891,116, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 17 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,378,368
Proper Divisor Sum 5,891,116
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4487243 ← → #4487297

Radix Representation

Decimal 4487252
Binary 10001000111100001010100 (23 bits)
Octal 0o21074124
Hexadecimal 0x447854

Divisor Catalog (48)

1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 857 1,309 1,714 2,618 3,428 5,236 5,999 9,427 11,998 14,569 18,854 23,996 29,138 37,708 58,276 65,989 101,983 131,978 160,259 203,966 263,956 320,518 407,932 641,036 1,121,813 2,243,626 4,487,252

Collatz Trajectory (110 steps to reach 1)

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

4,487,252 2,243,626 1,121,813 3,365,440 1,682,720 841,360 420,680 210,340 105,170 52,585 157,756 78,878 39,439 118,318 59,159 177,478 88,739 266,218 133,109 399,328 199,664 99,832 49,916 24,958 12,479 37,438 18,719 56,158 28,079 84,238 42,119 126,358 63,179 189,538 94,769 284,308 142,154 71,077 213,232 106,616 53,308 26,654 13,327 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745

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