λ
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Atlas › Integer Profiles › Node 45,260,908

45,260,908

22 × 73 × 11 × 2999
Abundant Even Composite

45,260,908 factors as 2^2 × 7^3 × 11 × 2999. Its 48 positive divisors give a proper-divisor sum of 55,539,092, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 11 × 2999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,800,000
Proper Divisor Sum 55,539,092
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #45260881 ← → #45260911

Radix Representation

Decimal 45260908
Binary 10101100101010000001101100 (26 bits)
Octal 0o254520154
Hexadecimal 0x2B2A06C

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 1,078 1,372 2,156 2,999 3,773 5,998 7,546 11,996 15,092 20,993 32,989 41,986 65,978 83,972 131,956 146,951 230,923 293,902 461,846 587,804 923,692 1,028,657 1,616,461 2,057,314 3,232,922 4,114,628 6,465,844 11,315,227 22,630,454 45,260,908

Collatz Trajectory (204 steps to reach 1)

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

45,260,908 22,630,454 11,315,227 33,945,682 16,972,841 50,918,524 25,459,262 12,729,631 38,188,894 19,094,447 57,283,342 28,641,671 85,925,014 42,962,507 128,887,522 64,443,761 193,331,284 96,665,642 48,332,821 144,998,464 72,499,232 36,249,616 18,124,808 9,062,404 4,531,202 2,265,601 6,796,804 3,398,402 1,699,201 5,097,604 2,548,802 1,274,401 3,823,204 1,911,602 955,801 2,867,404 1,433,702 716,851 2,150,554 1,075,277 3,225,832 1,612,916 806,458 403,229 1,209,688 604,844 302,422 151,211 453,634 226,817 680,452 340,226 170,113 510,340 255,170 127,585 382,756 191,378 95,689 287,068

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