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Atlas › Integer Profiles › Node 4,280,974

4,280,974

2 × 17 × 37 × 41 × 83
Deficient Even Composite

4,280,974 factors as 2 × 17 × 37 × 41 × 83. Its 32 positive divisors give a proper-divisor sum of 2,958,482, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 17 × 37 × 41 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,239,456
Proper Divisor Sum 2,958,482
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4280971 ← → #4280999

Radix Representation

Decimal 4280974
Binary 10000010101001010001110 (23 bits)
Octal 0o20251216
Hexadecimal 0x41528E

Divisor Catalog (32)

1 2 17 34 37 41 74 82 83 166 629 697 1,258 1,394 1,411 1,517 2,822 3,034 3,071 3,403 6,142 6,806 25,789 51,578 52,207 57,851 104,414 115,702 125,911 251,822 2,140,487 4,280,974

Collatz Trajectory (242 steps to reach 1)

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

4,280,974 2,140,487 6,421,462 3,210,731 9,632,194 4,816,097 14,448,292 7,224,146 3,612,073 10,836,220 5,418,110 2,709,055 8,127,166 4,063,583 12,190,750 6,095,375 18,286,126 9,143,063 27,429,190 13,714,595 41,143,786 20,571,893 61,715,680 30,857,840 15,428,920 7,714,460 3,857,230 1,928,615 5,785,846 2,892,923 8,678,770 4,339,385 13,018,156 6,509,078 3,254,539 9,763,618 4,881,809 14,645,428 7,322,714 3,661,357 10,984,072 5,492,036 2,746,018 1,373,009 4,119,028 2,059,514 1,029,757 3,089,272 1,544,636 772,318 386,159 1,158,478 579,239 1,737,718 868,859 2,606,578 1,303,289 3,909,868 1,954,934 977,467

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