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Atlas › Integer Profiles › Node 14,342,000

14,342,000

24 × 53 × 71 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 71 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 35,515,584
Proper Divisor Sum 21,173,584
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #14341997 ← → #14342021

Radix Representation

Decimal 14342000
Binary 110110101101011101110000 (24 bits)
Octal 0o66553560
Hexadecimal 0xDAD770

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 25 40 50 71 80 100 101 125 142 200 202 250 284 355 400 404 500 505 568 710 808 1,000 1,010 1,136 1,420 1,616 1,775 2,000 2,020 2,525 2,840 3,550 4,040 5,050 5,680 7,100 7,171 8,080 8,875 10,100 12,625 14,200 14,342 17,750 20,200 25,250 28,400 28,684 35,500 35,855 40,400 50,500

Collatz Trajectory (143 steps to reach 1)

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

14,342,000 7,171,000 3,585,500 1,792,750 896,375 2,689,126 1,344,563 4,033,690 2,016,845 6,050,536 3,025,268 1,512,634 756,317 2,268,952 1,134,476 567,238 283,619 850,858 425,429 1,276,288 638,144 319,072 159,536 79,768 39,884 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167

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