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Atlas › Integer Profiles › Node 9,582,734

9,582,734

2 × 73 × 61 × 229
Deficient Even Composite

9,582,734 factors as 2 × 7^3 × 61 × 229. Its 32 positive divisors give a proper-divisor sum of 7,529,266, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 61 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,112,000
Proper Divisor Sum 7,529,266
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9582701 ← → #9582757

Radix Representation

Decimal 9582734
Binary 100100100011100010001110 (24 bits)
Octal 0o44434216
Hexadecimal 0x92388E

Divisor Catalog (32)

1 2 7 14 49 61 98 122 229 343 427 458 686 854 1,603 2,989 3,206 5,978 11,221 13,969 20,923 22,442 27,938 41,846 78,547 97,783 157,094 195,566 684,481 1,368,962 4,791,367 9,582,734

Collatz Trajectory (238 steps to reach 1)

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

9,582,734 4,791,367 14,374,102 7,187,051 21,561,154 10,780,577 32,341,732 16,170,866 8,085,433 24,256,300 12,128,150 6,064,075 18,192,226 9,096,113 27,288,340 13,644,170 6,822,085 20,466,256 10,233,128 5,116,564 2,558,282 1,279,141 3,837,424 1,918,712 959,356 479,678 239,839 719,518 359,759 1,079,278 539,639 1,618,918 809,459 2,428,378 1,214,189 3,642,568 1,821,284 910,642 455,321 1,365,964 682,982 341,491 1,024,474 512,237 1,536,712 768,356 384,178 192,089 576,268 288,134 144,067 432,202 216,101 648,304 324,152 162,076 81,038 40,519 121,558 60,779

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