λ
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Atlas › Integer Profiles › Node 90,600,118

90,600,118

2 × 72 × 29 × 71 × 449
Deficient Even Composite

90,600,118 factors as 2 × 7^2 × 29 × 71 × 449. Its 48 positive divisors give a proper-divisor sum of 75,611,882, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 29 × 71 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 166,212,000
Proper Divisor Sum 75,611,882
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #90600077 ← → #90600143

Radix Representation

Decimal 90600118
Binary 101011001100111001010110110 (27 bits)
Octal 0o531471266
Hexadecimal 0x56672B6

Divisor Catalog (48)

1 2 7 14 29 49 58 71 98 142 203 406 449 497 898 994 1,421 2,059 2,842 3,143 3,479 4,118 6,286 6,958 13,021 14,413 22,001 26,042 28,826 31,879 44,002 63,758 91,147 100,891 182,294 201,782 223,153 446,306 638,029 924,491 1,276,058 1,562,071 1,848,982 3,124,142 6,471,437 12,942,874 45,300,059 90,600,118

Collatz Trajectory (156 steps to reach 1)

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

90,600,118 45,300,059 135,900,178 67,950,089 203,850,268 101,925,134 50,962,567 152,887,702 76,443,851 229,331,554 114,665,777 343,997,332 171,998,666 85,999,333 257,998,000 128,999,000 64,499,500 32,249,750 16,124,875 48,374,626 24,187,313 72,561,940 36,280,970 18,140,485 54,421,456 27,210,728 13,605,364 6,802,682 3,401,341 10,204,024 5,102,012 2,551,006 1,275,503 3,826,510 1,913,255 5,739,766 2,869,883 8,609,650 4,304,825 12,914,476 6,457,238 3,228,619 9,685,858 4,842,929 14,528,788 7,264,394 3,632,197 10,896,592 5,448,296 2,724,148 1,362,074 681,037 2,043,112 1,021,556 510,778 255,389 766,168 383,084 191,542 95,771

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