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Atlas › Integer Profiles › Node 4,469,164

4,469,164

22 × 7 × 17 × 41 × 229
Abundant Even Composite

4,469,164 factors as 2^2 × 7 × 17 × 41 × 229. Its 48 positive divisors give a proper-divisor sum of 5,268,116, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 41 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,737,280
Proper Divisor Sum 5,268,116
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4469141 ← → #4469167

Radix Representation

Decimal 4469164
Binary 10001000011000110101100 (23 bits)
Octal 0o21030654
Hexadecimal 0x4431AC

Divisor Catalog (48)

1 2 4 7 14 17 28 34 41 68 82 119 164 229 238 287 458 476 574 697 916 1,148 1,394 1,603 2,788 3,206 3,893 4,879 6,412 7,786 9,389 9,758 15,572 18,778 19,516 27,251 37,556 54,502 65,723 109,004 131,446 159,613 262,892 319,226 638,452 1,117,291 2,234,582 4,469,164

Collatz Trajectory (242 steps to reach 1)

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

4,469,164 2,234,582 1,117,291 3,351,874 1,675,937 5,027,812 2,513,906 1,256,953 3,770,860 1,885,430 942,715 2,828,146 1,414,073 4,242,220 2,121,110 1,060,555 3,181,666 1,590,833 4,772,500 2,386,250 1,193,125 3,579,376 1,789,688 894,844 447,422 223,711 671,134 335,567 1,006,702 503,351 1,510,054 755,027 2,265,082 1,132,541 3,397,624 1,698,812 849,406 424,703 1,274,110 637,055 1,911,166 955,583 2,866,750 1,433,375 4,300,126 2,150,063 6,450,190 3,225,095 9,675,286 4,837,643 14,512,930 7,256,465 21,769,396 10,884,698 5,442,349 16,327,048 8,163,524 4,081,762 2,040,881 6,122,644

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