λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,035,152

32,035,152

24 × 3 × 31 × 21529
Abundant Even Composite

32,035,152 factors as 2^4 × 3 × 31 × 21529. Its 40 positive divisors give a proper-divisor sum of 53,395,888, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 31 × 21529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 85,431,040
Proper Divisor Sum 53,395,888
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #32035151 ← → #32035189

Radix Representation

Decimal 32035152
Binary 1111010001101000101010000 (25 bits)
Octal 0o172150520
Hexadecimal 0x1E8D150

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1,488 21,529 43,058 64,587 86,116 129,174 172,232 258,348 344,464 516,696 667,399 1,033,392 1,334,798 2,002,197 2,669,596 4,004,394 5,339,192 8,008,788 10,678,384 16,017,576 32,035,152

Collatz Trajectory (144 steps to reach 1)

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

32,035,152 16,017,576 8,008,788 4,004,394 2,002,197 6,006,592 3,003,296 1,501,648 750,824 375,412 187,706 93,853 281,560 140,780 70,390 35,195 105,586 52,793 158,380 79,190 39,595 118,786 59,393 178,180 89,090 44,545 133,636 66,818 33,409 100,228 50,114 25,057 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #32,035,151 Browse Full Index Next Integer #32,035,153 →