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Atlas › Integer Profiles › Node 1,065,012

1,065,012

22 × 3 × 13 × 6827
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 6827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,676,576
Proper Divisor Sum 1,611,564
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1065011 ← → #1065013

Radix Representation

Decimal 1065012
Binary 100000100000000110100 (21 bits)
Octal 0o4040064
Hexadecimal 0x104034

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 6,827 13,654 20,481 27,308 40,962 81,924 88,751 177,502 266,253 355,004 532,506 1,065,012

Collatz Trajectory (59 steps to reach 1)

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

1,065,012 532,506 266,253 798,760 399,380 199,690 99,845 299,536 149,768 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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