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Atlas › Integer Profiles › Node 99,532,010

99,532,010

2 × 5 × 31 × 412 × 191
Deficient Even Composite

99,532,010 factors as 2 × 5 × 31 × 41^2 × 191. Its 48 positive divisors give a proper-divisor sum of 91,018,006, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 41^2 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 190,550,016
Proper Divisor Sum 91,018,006
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #99532003 ← → #99532033

Radix Representation

Decimal 99532010
Binary 101111011101011110011101010 (27 bits)
Octal 0o573536352
Hexadecimal 0x5EEBCEA

Divisor Catalog (48)

1 2 5 10 31 41 62 82 155 191 205 310 382 410 955 1,271 1,681 1,910 2,542 3,362 5,921 6,355 7,831 8,405 11,842 12,710 15,662 16,810 29,605 39,155 52,111 59,210 78,310 104,222 242,761 260,555 321,071 485,522 521,110 642,142 1,213,805 1,605,355 2,427,610 3,210,710 9,953,201 19,906,402 49,766,005 99,532,010

Collatz Trajectory (161 steps to reach 1)

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

99,532,010 49,766,005 149,298,016 74,649,008 37,324,504 18,662,252 9,331,126 4,665,563 13,996,690 6,998,345 20,995,036 10,497,518 5,248,759 15,746,278 7,873,139 23,619,418 11,809,709 35,429,128 17,714,564 8,857,282 4,428,641 13,285,924 6,642,962 3,321,481 9,964,444 4,982,222 2,491,111 7,473,334 3,736,667 11,210,002 5,605,001 16,815,004 8,407,502 4,203,751 12,611,254 6,305,627 18,916,882 9,458,441 28,375,324 14,187,662 7,093,831 21,281,494 10,640,747 31,922,242 15,961,121 47,883,364 23,941,682 11,970,841 35,912,524 17,956,262 8,978,131 26,934,394 13,467,197 40,401,592 20,200,796 10,100,398 5,050,199 15,150,598 7,575,299 22,725,898

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