λ
Ratio Atlas

33,763,231

1217 × 27743
Deficient Odd Composite

33,763,231 factors as 1217 × 27743. Its 4 positive divisors give a proper-divisor sum of 28,961, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 1217 × 27743
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 33,792,192
Proper Divisor Sum 28,961
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #33763217 ← → #33763237

Radix Representation

Decimal 33763231
Binary 10000000110010111110011111 (26 bits)
Octal 0o200627637
Hexadecimal 0x2032F9F

Divisor Catalog (4)

Collatz Trajectory (157 steps to reach 1)

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

33,763,231 101,289,694 50,644,847 151,934,542 75,967,271 227,901,814 113,950,907 341,852,722 170,926,361 512,779,084 256,389,542 128,194,771 384,584,314 192,292,157 576,876,472 288,438,236 144,219,118 72,109,559 216,328,678 108,164,339 324,493,018 162,246,509 486,739,528 243,369,764 121,684,882 60,842,441 182,527,324 91,263,662 45,631,831 136,895,494 68,447,747 205,343,242 102,671,621 308,014,864 154,007,432 77,003,716 38,501,858 19,250,929 57,752,788 28,876,394 14,438,197 43,314,592 21,657,296 10,828,648 5,414,324 2,707,162 1,353,581 4,060,744 2,030,372 1,015,186 507,593 1,522,780 761,390 380,695 1,142,086 571,043 1,713,130 856,565 2,569,696 1,284,848

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