λ
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Atlas › Integer Profiles › Node 18,152,015

18,152,015

5 × 7 × 37 × 107 × 131
Deficient Odd Composite

18,152,015 factors as 5 × 7 × 37 × 107 × 131. Its 32 positive divisors give a proper-divisor sum of 7,850,929, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 5 × 7 × 37 × 107 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,002,944
Proper Divisor Sum 7,850,929
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #18152009 ← → #18152021

Radix Representation

Decimal 18152015
Binary 1000101001111101001001111 (25 bits)
Octal 0o105175117
Hexadecimal 0x114FA4F

Divisor Catalog (32)

1 5 7 35 37 107 131 185 259 535 655 749 917 1,295 3,745 3,959 4,585 4,847 14,017 19,795 24,235 27,713 33,929 70,085 98,119 138,565 169,645 490,595 518,629 2,593,145 3,630,403 18,152,015

Collatz Trajectory (226 steps to reach 1)

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

18,152,015 54,456,046 27,228,023 81,684,070 40,842,035 122,526,106 61,263,053 183,789,160 91,894,580 45,947,290 22,973,645 68,920,936 34,460,468 17,230,234 8,615,117 25,845,352 12,922,676 6,461,338 3,230,669 9,692,008 4,846,004 2,423,002 1,211,501 3,634,504 1,817,252 908,626 454,313 1,362,940 681,470 340,735 1,022,206 511,103 1,533,310 766,655 2,299,966 1,149,983 3,449,950 1,724,975 5,174,926 2,587,463 7,762,390 3,881,195 11,643,586 5,821,793 17,465,380 8,732,690 4,366,345 13,099,036 6,549,518 3,274,759 9,824,278 4,912,139 14,736,418 7,368,209 22,104,628 11,052,314 5,526,157 16,578,472 8,289,236 4,144,618

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