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Atlas › Integer Profiles › Node 90,136,618

90,136,618

2 × 11 × 13 × 17 × 18539
Deficient Even Composite

90,136,618 factors as 2 × 11 × 13 × 17 × 18539. Its 32 positive divisors give a proper-divisor sum of 78,058,262, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 17 × 18539
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 168,194,880
Proper Divisor Sum 78,058,262
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #90136603 ← → #90136621

Radix Representation

Decimal 90136618
Binary 101010111110110000000101010 (27 bits)
Octal 0o527660052
Hexadecimal 0x55F602A

Divisor Catalog (32)

1 2 11 13 17 22 26 34 143 187 221 286 374 442 2,431 4,862 18,539 37,078 203,929 241,007 315,163 407,858 482,014 630,326 2,651,077 3,466,793 4,097,119 5,302,154 6,933,586 8,194,238 45,068,309 90,136,618

Collatz Trajectory (205 steps to reach 1)

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

90,136,618 45,068,309 135,204,928 67,602,464 33,801,232 16,900,616 8,450,308 4,225,154 2,112,577 6,337,732 3,168,866 1,584,433 4,753,300 2,376,650 1,188,325 3,564,976 1,782,488 891,244 445,622 222,811 668,434 334,217 1,002,652 501,326 250,663 751,990 375,995 1,127,986 563,993 1,691,980 845,990 422,995 1,268,986 634,493 1,903,480 951,740 475,870 237,935 713,806 356,903 1,070,710 535,355 1,606,066 803,033 2,409,100 1,204,550 602,275 1,806,826 903,413 2,710,240 1,355,120 677,560 338,780 169,390 84,695 254,086 127,043 381,130 190,565 571,696

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