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Atlas › Integer Profiles › Node 33,763,149

33,763,149

35 × 7 × 23 × 863
Deficient Odd Composite

33,763,149 factors as 3^5 × 7 × 23 × 863. Its 48 positive divisors give a proper-divisor sum of 26,620,083, so this integer is deficient. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 23 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 60,383,232
Proper Divisor Sum 26,620,083
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33763117 ← → #33763153

Radix Representation

Decimal 33763149
Binary 10000000110010111101001101 (26 bits)
Octal 0o200627515
Hexadecimal 0x2032F4D

Divisor Catalog (48)

1 3 7 9 21 23 27 63 69 81 161 189 207 243 483 567 621 863 1,449 1,701 1,863 2,589 4,347 5,589 6,041 7,767 13,041 18,123 19,849 23,301 39,123 54,369 59,547 69,903 138,943 163,107 178,641 209,709 416,829 489,321 535,923 1,250,487 1,467,963 1,607,769 3,751,461 4,823,307 11,254,383 33,763,149

Collatz Trajectory (276 steps to reach 1)

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

33,763,149 101,289,448 50,644,724 25,322,362 12,661,181 37,983,544 18,991,772 9,495,886 4,747,943 14,243,830 7,121,915 21,365,746 10,682,873 32,048,620 16,024,310 8,012,155 24,036,466 12,018,233 36,054,700 18,027,350 9,013,675 27,041,026 13,520,513 40,561,540 20,280,770 10,140,385 30,421,156 15,210,578 7,605,289 22,815,868 11,407,934 5,703,967 17,111,902 8,555,951 25,667,854 12,833,927 38,501,782 19,250,891 57,752,674 28,876,337 86,629,012 43,314,506 21,657,253 64,971,760 32,485,880 16,242,940 8,121,470 4,060,735 12,182,206 6,091,103 18,273,310 9,136,655 27,409,966 13,704,983 41,114,950 20,557,475 61,672,426 30,836,213 92,508,640 46,254,320

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