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Atlas › Integer Profiles › Node 3,562,008

3,562,008

23 × 3 × 193 × 769
Abundant Even Composite

3,562,008 factors as 2^3 × 3 × 193 × 769. Its 32 positive divisors give a proper-divisor sum of 5,400,792, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 193 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,962,800
Proper Divisor Sum 5,400,792
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3561997 ← → #3562019

Radix Representation

Decimal 3562008
Binary 1101100101101000011000 (22 bits)
Octal 0o15455030
Hexadecimal 0x365A18

Divisor Catalog (32)

1 2 3 4 6 8 12 24 193 386 579 769 772 1,158 1,538 1,544 2,307 2,316 3,076 4,614 4,632 6,152 9,228 18,456 148,417 296,834 445,251 593,668 890,502 1,187,336 1,781,004 3,562,008

Collatz Trajectory (97 steps to reach 1)

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

3,562,008 1,781,004 890,502 445,251 1,335,754 667,877 2,003,632 1,001,816 500,908 250,454 125,227 375,682 187,841 563,524 281,762 140,881 422,644 211,322 105,661 316,984 158,492 79,246 39,623 118,870 59,435 178,306 89,153 267,460 133,730 66,865 200,596 100,298 50,149 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592

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