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Atlas › Integer Profiles › Node 16,005,184

16,005,184

26 × 13 × 19237
Abundant Even Composite

16,005,184 factors as 2^6 × 13 × 19237. Its 28 positive divisors give a proper-divisor sum of 18,199,980, so this integer is abundant. The Collatz stopping time is 324 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 19237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 34,205,164
Proper Divisor Sum 18,199,980
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #16005181 ← → #16005191

Radix Representation

Decimal 16005184
Binary 111101000011100001000000 (24 bits)
Octal 0o75034100
Hexadecimal 0xF43840

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 19,237 38,474 76,948 153,896 250,081 307,792 500,162 615,584 1,000,324 1,231,168 2,000,648 4,001,296 8,002,592 16,005,184

Collatz Trajectory (324 steps to reach 1)

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

16,005,184 8,002,592 4,001,296 2,000,648 1,000,324 500,162 250,081 750,244 375,122 187,561 562,684 281,342 140,671 422,014 211,007 633,022 316,511 949,534 474,767 1,424,302 712,151 2,136,454 1,068,227 3,204,682 1,602,341 4,807,024 2,403,512 1,201,756 600,878 300,439 901,318 450,659 1,351,978 675,989 2,027,968 1,013,984 506,992 253,496 126,748 63,374 31,687 95,062 47,531 142,594 71,297 213,892 106,946 53,473 160,420 80,210 40,105 120,316 60,158 30,079 90,238 45,119 135,358 67,679 203,038 101,519

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