λ
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Atlas › Integer Profiles › Node 9,453,056

9,453,056

29 × 37 × 499
Abundant Even Composite

9,453,056 factors as 2^9 × 37 × 499. Its 40 positive divisors give a proper-divisor sum of 9,983,944, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^9 × 37 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,437,000
Proper Divisor Sum 9,983,944
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9452959 ← → #9453079

Radix Representation

Decimal 9453056
Binary 100100000011111000000000 (24 bits)
Octal 0o44037000
Hexadecimal 0x903E00

Divisor Catalog (40)

1 2 4 8 16 32 37 64 74 128 148 256 296 499 512 592 998 1,184 1,996 2,368 3,992 4,736 7,984 9,472 15,968 18,463 18,944 31,936 36,926 63,872 73,852 127,744 147,704 255,488 295,408 590,816 1,181,632 2,363,264 4,726,528 9,453,056

Collatz Trajectory (70 steps to reach 1)

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

9,453,056 4,726,528 2,363,264 1,181,632 590,816 295,408 147,704 73,852 36,926 18,463 55,390 27,695 83,086 41,543 124,630 62,315 186,946 93,473 280,420 140,210 70,105 210,316 105,158 52,579 157,738 78,869 236,608 118,304 59,152 29,576 14,788 7,394 3,697 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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