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Atlas › Integer Profiles › Node 9,747,252

9,747,252

22 × 32 × 73 × 3709
Abundant Even Composite

9,747,252 factors as 2^2 × 3^2 × 73 × 3709. Its 36 positive divisors give a proper-divisor sum of 15,235,888, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 73 × 3709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,983,140
Proper Divisor Sum 15,235,888
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9747233 ← → #9747253

Radix Representation

Decimal 9747252
Binary 100101001011101100110100 (24 bits)
Octal 0o45135464
Hexadecimal 0x94BB34

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1,314 2,628 3,709 7,418 11,127 14,836 22,254 33,381 44,508 66,762 133,524 270,757 541,514 812,271 1,083,028 1,624,542 2,436,813 3,249,084 4,873,626 9,747,252

Collatz Trajectory (251 steps to reach 1)

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

9,747,252 4,873,626 2,436,813 7,310,440 3,655,220 1,827,610 913,805 2,741,416 1,370,708 685,354 342,677 1,028,032 514,016 257,008 128,504 64,252 32,126 16,063 48,190 24,095 72,286 36,143 108,430 54,215 162,646 81,323 243,970 121,985 365,956 182,978 91,489 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829

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