λ
Ratio Atlas

36,069,223

172 × 137 × 911
Deficient Odd Composite

36,069,223 factors as 17^2 × 137 × 911. Its 12 positive divisors give a proper-divisor sum of 2,568,569, so this integer is deficient. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 17^2 × 137 × 911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 38,637,792
Proper Divisor Sum 2,568,569
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #36069197 ← → #36069233

Radix Representation

Decimal 36069223
Binary 10001001100101111101100111 (26 bits)
Octal 0o211457547
Hexadecimal 0x2265F67

Divisor Catalog (12)

Collatz Trajectory (271 steps to reach 1)

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

36,069,223 108,207,670 54,103,835 162,311,506 81,155,753 243,467,260 121,733,630 60,866,815 182,600,446 91,300,223 273,900,670 136,950,335 410,851,006 205,425,503 616,276,510 308,138,255 924,414,766 462,207,383 1,386,622,150 693,311,075 2,079,933,226 1,039,966,613 3,119,899,840 1,559,949,920 779,974,960 389,987,480 194,993,740 97,496,870 48,748,435 146,245,306 73,122,653 219,367,960 109,683,980 54,841,990 27,420,995 82,262,986 41,131,493 123,394,480 61,697,240 30,848,620 15,424,310 7,712,155 23,136,466 11,568,233 34,704,700 17,352,350 8,676,175 26,028,526 13,014,263 39,042,790 19,521,395 58,564,186 29,282,093 87,846,280 43,923,140 21,961,570 10,980,785 32,942,356 16,471,178 8,235,589

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