λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,476,644

32,476,644

22 × 32 × 23 × 61 × 643
Abundant Even Composite

32,476,644 factors as 2^2 × 3^2 × 23 × 61 × 643. Its 72 positive divisors give a proper-divisor sum of 54,726,108, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 61 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 87,202,752
Proper Divisor Sum 54,726,108
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #32476637 ← → #32476669

Radix Representation

Decimal 32476644
Binary 1111011111000110111100100 (25 bits)
Octal 0o173706744
Hexadecimal 0x1EF8DE4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 643 732 828 1,098 1,286 1,403 1,929 2,196 2,572 2,806 3,858 4,209 5,612 5,787 7,716 8,418 11,574 12,627 14,789 16,836 23,148 25,254 29,578 39,223 44,367 50,508 59,156 78,446 88,734 117,669 133,101 156,892 177,468 235,338 266,202 353,007 470,676

Collatz Trajectory (170 steps to reach 1)

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

32,476,644 16,238,322 8,119,161 24,357,484 12,178,742 6,089,371 18,268,114 9,134,057 27,402,172 13,701,086 6,850,543 20,551,630 10,275,815 30,827,446 15,413,723 46,241,170 23,120,585 69,361,756 34,680,878 17,340,439 52,021,318 26,010,659 78,031,978 39,015,989 117,047,968 58,523,984 29,261,992 14,630,996 7,315,498 3,657,749 10,973,248 5,486,624 2,743,312 1,371,656 685,828 342,914 171,457 514,372 257,186 128,593 385,780 192,890 96,445 289,336 144,668 72,334 36,167 108,502 54,251 162,754 81,377 244,132 122,066 61,033 183,100 91,550 45,775 137,326 68,663 205,990

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #32,476,643 Browse Full Index Next Integer #32,476,645 →