λ
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33,249,392

24 × 11 × 19 × 61 × 163
Abundant Even Composite

33,249,392 factors as 2^4 × 11 × 19 × 61 × 163. Its 80 positive divisors give a proper-divisor sum of 42,400,528, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 19 × 61 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 75,649,920
Proper Divisor Sum 42,400,528
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #33249343 ← → #33249397

Radix Representation

Decimal 33249392
Binary 1111110110101100001110000 (25 bits)
Octal 0o176654160
Hexadecimal 0x1FB5870

Divisor Catalog (60 of 80)

1 2 4 8 11 16 19 22 38 44 61 76 88 122 152 163 176 209 244 304 326 418 488 652 671 836 976 1,159 1,304 1,342 1,672 1,793 2,318 2,608 2,684 3,097 3,344 3,586 4,636 5,368 6,194 7,172 9,272 9,943 10,736 12,388 12,749 14,344 18,544 19,886 24,776 25,498 28,688 34,067 39,772 49,552 50,996 68,134 79,544 101,992

Collatz Trajectory (157 steps to reach 1)

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

33,249,392 16,624,696 8,312,348 4,156,174 2,078,087 6,234,262 3,117,131 9,351,394 4,675,697 14,027,092 7,013,546 3,506,773 10,520,320 5,260,160 2,630,080 1,315,040 657,520 328,760 164,380 82,190 41,095 123,286 61,643 184,930 92,465 277,396 138,698 69,349 208,048 104,024 52,012 26,006 13,003 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977

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