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Atlas › Integer Profiles › Node 16,632,126

16,632,126

2 × 32 × 7 × 132001
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 132001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 41,184,624
Proper Divisor Sum 24,552,498
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #16632113 ← → #16632139

Radix Representation

Decimal 16632126
Binary 111111011100100100111110 (24 bits)
Octal 0o77344476
Hexadecimal 0xFDC93E

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 132,001 264,002 396,003 792,006 924,007 1,188,009 1,848,014 2,376,018 2,772,021 5,544,042 8,316,063 16,632,126

Collatz Trajectory (169 steps to reach 1)

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

16,632,126 8,316,063 24,948,190 12,474,095 37,422,286 18,711,143 56,133,430 28,066,715 84,200,146 42,100,073 126,300,220 63,150,110 31,575,055 94,725,166 47,362,583 142,087,750 71,043,875 213,131,626 106,565,813 319,697,440 159,848,720 79,924,360 39,962,180 19,981,090 9,990,545 29,971,636 14,985,818 7,492,909 22,478,728 11,239,364 5,619,682 2,809,841 8,429,524 4,214,762 2,107,381 6,322,144 3,161,072 1,580,536 790,268 395,134 197,567 592,702 296,351 889,054 444,527 1,333,582 666,791 2,000,374 1,000,187 3,000,562 1,500,281 4,500,844 2,250,422 1,125,211 3,375,634 1,687,817 5,063,452 2,531,726 1,265,863 3,797,590

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