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Atlas › Integer Profiles › Node 5,085,225

5,085,225

32 × 52 × 97 × 233
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 97 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,241,596
Proper Divisor Sum 4,156,371
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5085187 ← → #5085239

Radix Representation

Decimal 5085225
Binary 10011011001100000101001 (23 bits)
Octal 0o23314051
Hexadecimal 0x4D9829

Divisor Catalog (36)

1 3 5 9 15 25 45 75 97 225 233 291 485 699 873 1,165 1,455 2,097 2,425 3,495 4,365 5,825 7,275 10,485 17,475 21,825 22,601 52,425 67,803 113,005 203,409 339,015 565,025 1,017,045 1,695,075 5,085,225

Collatz Trajectory (157 steps to reach 1)

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

5,085,225 15,255,676 7,627,838 3,813,919 11,441,758 5,720,879 17,162,638 8,581,319 25,743,958 12,871,979 38,615,938 19,307,969 57,923,908 28,961,954 14,480,977 43,442,932 21,721,466 10,860,733 32,582,200 16,291,100 8,145,550 4,072,775 12,218,326 6,109,163 18,327,490 9,163,745 27,491,236 13,745,618 6,872,809 20,618,428 10,309,214 5,154,607 15,463,822 7,731,911 23,195,734 11,597,867 34,793,602 17,396,801 52,190,404 26,095,202 13,047,601 39,142,804 19,571,402 9,785,701 29,357,104 14,678,552 7,339,276 3,669,638 1,834,819 5,504,458 2,752,229 8,256,688 4,128,344 2,064,172 1,032,086 516,043 1,548,130 774,065 2,322,196 1,161,098

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