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Atlas › Integer Profiles › Node 8,751,532

8,751,532

22 × 17 × 41 × 43 × 73
Deficient Even Composite

8,751,532 factors as 2^2 × 17 × 41 × 43 × 73. Its 48 positive divisors give a proper-divisor sum of 8,479,220, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 41 × 43 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,230,752
Proper Divisor Sum 8,479,220
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8751527 ← → #8751557

Radix Representation

Decimal 8751532
Binary 100001011000100110101100 (24 bits)
Octal 0o41304654
Hexadecimal 0x8589AC

Divisor Catalog (48)

1 2 4 17 34 41 43 68 73 82 86 146 164 172 292 697 731 1,241 1,394 1,462 1,763 2,482 2,788 2,924 2,993 3,139 3,526 4,964 5,986 6,278 7,052 11,972 12,556 29,971 50,881 53,363 59,942 101,762 106,726 119,884 128,699 203,524 213,452 257,398 514,796 2,187,883 4,375,766 8,751,532

Collatz Trajectory (212 steps to reach 1)

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

8,751,532 4,375,766 2,187,883 6,563,650 3,281,825 9,845,476 4,922,738 2,461,369 7,384,108 3,692,054 1,846,027 5,538,082 2,769,041 8,307,124 4,153,562 2,076,781 6,230,344 3,115,172 1,557,586 778,793 2,336,380 1,168,190 584,095 1,752,286 876,143 2,628,430 1,314,215 3,942,646 1,971,323 5,913,970 2,956,985 8,870,956 4,435,478 2,217,739 6,653,218 3,326,609 9,979,828 4,989,914 2,494,957 7,484,872 3,742,436 1,871,218 935,609 2,806,828 1,403,414 701,707 2,105,122 1,052,561 3,157,684 1,578,842 789,421 2,368,264 1,184,132 592,066 296,033 888,100 444,050 222,025 666,076 333,038

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