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Atlas › Integer Profiles › Node 33,765,990

33,765,990

2 × 3 × 5 × 67 × 107 × 157
Abundant Even Composite

33,765,990 factors as 2 × 3 × 5 × 67 × 107 × 157. Its 64 positive divisors give a proper-divisor sum of 49,779,354, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 67 × 107 × 157
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 83,545,344
Proper Divisor Sum 49,779,354
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #33765989 ← → #33766003

Radix Representation

Decimal 33765990
Binary 10000000110011101001100110 (26 bits)
Octal 0o200635146
Hexadecimal 0x2033A66

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 30 67 107 134 157 201 214 314 321 335 402 471 535 642 670 785 942 1,005 1,070 1,570 1,605 2,010 2,355 3,210 4,710 7,169 10,519 14,338 16,799 21,038 21,507 31,557 33,598 35,845 43,014 50,397 52,595 63,114 71,690 83,995 100,794 105,190 107,535 157,785 167,990 215,070 251,985 315,570 503,970 1,125,533 2,251,066 3,376,599 5,627,665

Collatz Trajectory (183 steps to reach 1)

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

33,765,990 16,882,995 50,648,986 25,324,493 75,973,480 37,986,740 18,993,370 9,496,685 28,490,056 14,245,028 7,122,514 3,561,257 10,683,772 5,341,886 2,670,943 8,012,830 4,006,415 12,019,246 6,009,623 18,028,870 9,014,435 27,043,306 13,521,653 40,564,960 20,282,480 10,141,240 5,070,620 2,535,310 1,267,655 3,802,966 1,901,483 5,704,450 2,852,225 8,556,676 4,278,338 2,139,169 6,417,508 3,208,754 1,604,377 4,813,132 2,406,566 1,203,283 3,609,850 1,804,925 5,414,776 2,707,388 1,353,694 676,847 2,030,542 1,015,271 3,045,814 1,522,907 4,568,722 2,284,361 6,853,084 3,426,542 1,713,271 5,139,814 2,569,907 7,709,722

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