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Atlas › Integer Profiles › Node 3,480,176

3,480,176

24 × 72 × 23 × 193
Abundant Even Composite

3,480,176 factors as 2^4 × 7^2 × 23 × 193. Its 60 positive divisors give a proper-divisor sum of 4,746,976, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 23 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,227,152
Proper Divisor Sum 4,746,976
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3480163 ← → #3480221

Radix Representation

Decimal 3480176
Binary 1101010001101001110000 (22 bits)
Octal 0o15215160
Hexadecimal 0x351A70

Divisor Catalog (60)

1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 193 196 322 368 386 392 644 772 784 1,127 1,288 1,351 1,544 2,254 2,576 2,702 3,088 4,439 4,508 5,404 8,878 9,016 9,457 10,808 17,756 18,032 18,914 21,616 31,073 35,512 37,828 62,146 71,024 75,656 124,292 151,312 217,511 248,584 435,022 497,168 870,044 1,740,088 3,480,176

Collatz Trajectory (84 steps to reach 1)

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

3,480,176 1,740,088 870,044 435,022 217,511 652,534 326,267 978,802 489,401 1,468,204 734,102 367,051 1,101,154 550,577 1,651,732 825,866 412,933 1,238,800 619,400 309,700 154,850 77,425 232,276 116,138 58,069 174,208 87,104 43,552 21,776 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616

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