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Atlas › Integer Profiles › Node 36,734,232

36,734,232

23 × 3 × 157 × 9749
Abundant Even Composite

36,734,232 factors as 2^3 × 3 × 157 × 9749. Its 32 positive divisors give a proper-divisor sum of 55,695,768, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 157 × 9749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,430,000
Proper Divisor Sum 55,695,768
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36734227 ← → #36734233

Radix Representation

Decimal 36734232
Binary 10001100001000010100011000 (26 bits)
Octal 0o214102430
Hexadecimal 0x2308518

Divisor Catalog (32)

1 2 3 4 6 8 12 24 157 314 471 628 942 1,256 1,884 3,768 9,749 19,498 29,247 38,996 58,494 77,992 116,988 233,976 1,530,593 3,061,186 4,591,779 6,122,372 9,183,558 12,244,744 18,367,116 36,734,232

Collatz Trajectory (183 steps to reach 1)

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

36,734,232 18,367,116 9,183,558 4,591,779 13,775,338 6,887,669 20,663,008 10,331,504 5,165,752 2,582,876 1,291,438 645,719 1,937,158 968,579 2,905,738 1,452,869 4,358,608 2,179,304 1,089,652 544,826 272,413 817,240 408,620 204,310 102,155 306,466 153,233 459,700 229,850 114,925 344,776 172,388 86,194 43,097 129,292 64,646 32,323 96,970 48,485 145,456 72,728 36,364 18,182 9,091 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478

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