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Atlas › Integer Profiles › Node 3,340,700

3,340,700

22 × 52 × 11 × 3037
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 3037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,910,952
Proper Divisor Sum 4,570,252
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3340697 ← → #3340703

Radix Representation

Decimal 3340700
Binary 1100101111100110011100 (22 bits)
Octal 0o14574634
Hexadecimal 0x32F99C

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1,100 3,037 6,074 12,148 15,185 30,370 33,407 60,740 66,814 75,925 133,628 151,850 167,035 303,700 334,070 668,140 835,175 1,670,350 3,340,700

Collatz Trajectory (190 steps to reach 1)

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

3,340,700 1,670,350 835,175 2,505,526 1,252,763 3,758,290 1,879,145 5,637,436 2,818,718 1,409,359 4,228,078 2,114,039 6,342,118 3,171,059 9,513,178 4,756,589 14,269,768 7,134,884 3,567,442 1,783,721 5,351,164 2,675,582 1,337,791 4,013,374 2,006,687 6,020,062 3,010,031 9,030,094 4,515,047 13,545,142 6,772,571 20,317,714 10,158,857 30,476,572 15,238,286 7,619,143 22,857,430 11,428,715 34,286,146 17,143,073 51,429,220 25,714,610 12,857,305 38,571,916 19,285,958 9,642,979 28,928,938 14,464,469 43,393,408 21,696,704 10,848,352 5,424,176 2,712,088 1,356,044 678,022 339,011 1,017,034 508,517 1,525,552 762,776

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