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Atlas › Integer Profiles › Node 18,366,705

18,366,705

32 × 5 × 7 × 199 × 293
Deficient Odd Composite

18,366,705 factors as 3^2 × 5 × 7 × 199 × 293. Its 48 positive divisors give a proper-divisor sum of 18,324,495, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 199 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,691,200
Proper Divisor Sum 18,324,495
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #18366697 ← → #18366709

Radix Representation

Decimal 18366705
Binary 1000110000100000011110001 (25 bits)
Octal 0o106040361
Hexadecimal 0x11840F1

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 63 105 199 293 315 597 879 995 1,393 1,465 1,791 2,051 2,637 2,985 4,179 4,395 6,153 6,965 8,955 10,255 12,537 13,185 18,459 20,895 30,765 58,307 62,685 92,295 174,921 291,535 408,149 524,763 874,605 1,224,447 2,040,745 2,623,815 3,673,341 6,122,235 18,366,705

Collatz Trajectory (182 steps to reach 1)

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

18,366,705 55,100,116 27,550,058 13,775,029 41,325,088 20,662,544 10,331,272 5,165,636 2,582,818 1,291,409 3,874,228 1,937,114 968,557 2,905,672 1,452,836 726,418 363,209 1,089,628 544,814 272,407 817,222 408,611 1,225,834 612,917 1,838,752 919,376 459,688 229,844 114,922 57,461 172,384 86,192 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438

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