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Atlas › Integer Profiles › Node 65,048,844

65,048,844

22 × 3 × 7 × 877 × 883
Abundant Even Composite

65,048,844 factors as 2^2 × 3 × 7 × 877 × 883. Its 48 positive divisors give a proper-divisor sum of 108,809,204, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 877 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 173,858,048
Proper Divisor Sum 108,809,204
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #65048839 ← → #65048873

Radix Representation

Decimal 65048844
Binary 11111000001001000100001100 (26 bits)
Octal 0o370110414
Hexadecimal 0x3E0910C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 877 883 1,754 1,766 2,631 2,649 3,508 3,532 5,262 5,298 6,139 6,181 10,524 10,596 12,278 12,362 18,417 18,543 24,556 24,724 36,834 37,086 73,668 74,172 774,391 1,548,782 2,323,173 3,097,564 4,646,346 5,420,737 9,292,692 10,841,474 16,262,211 21,682,948 32,524,422 65,048,844

Collatz Trajectory (202 steps to reach 1)

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

65,048,844 32,524,422 16,262,211 48,786,634 24,393,317 73,179,952 36,589,976 18,294,988 9,147,494 4,573,747 13,721,242 6,860,621 20,581,864 10,290,932 5,145,466 2,572,733 7,718,200 3,859,100 1,929,550 964,775 2,894,326 1,447,163 4,341,490 2,170,745 6,512,236 3,256,118 1,628,059 4,884,178 2,442,089 7,326,268 3,663,134 1,831,567 5,494,702 2,747,351 8,242,054 4,121,027 12,363,082 6,181,541 18,544,624 9,272,312 4,636,156 2,318,078 1,159,039 3,477,118 1,738,559 5,215,678 2,607,839 7,823,518 3,911,759 11,735,278 5,867,639 17,602,918 8,801,459 26,404,378 13,202,189 39,606,568 19,803,284 9,901,642 4,950,821 14,852,464

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