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Atlas › Integer Profiles › Node 32,836,900

32,836,900

22 × 52 × 41 × 8009
Abundant Even Composite

32,836,900 factors as 2^2 × 5^2 × 41 × 8009. Its 36 positive divisors give a proper-divisor sum of 40,166,240, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 41 × 8009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 73,003,140
Proper Divisor Sum 40,166,240
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #32836897 ← → #32836919

Radix Representation

Decimal 32836900
Binary 1111101010000110100100100 (25 bits)
Octal 0o175206444
Hexadecimal 0x1F50D24

Divisor Catalog (36)

1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1,025 2,050 4,100 8,009 16,018 32,036 40,045 80,090 160,180 200,225 328,369 400,450 656,738 800,900 1,313,476 1,641,845 3,283,690 6,567,380 8,209,225 16,418,450 32,836,900

Collatz Trajectory (108 steps to reach 1)

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

32,836,900 16,418,450 8,209,225 24,627,676 12,313,838 6,156,919 18,470,758 9,235,379 27,706,138 13,853,069 41,559,208 20,779,604 10,389,802 5,194,901 15,584,704 7,792,352 3,896,176 1,948,088 974,044 487,022 243,511 730,534 365,267 1,095,802 547,901 1,643,704 821,852 410,926 205,463 616,390 308,195 924,586 462,293 1,386,880 693,440 346,720 173,360 86,680 43,340 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720

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