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Atlas › Integer Profiles › Node 72,025,558

72,025,558

2 × 11 × 23 × 137 × 1039
Deficient Even Composite

72,025,558 factors as 2 × 11 × 23 × 137 × 1039. Its 32 positive divisors give a proper-divisor sum of 51,975,722, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 137 × 1039
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 124,001,280
Proper Divisor Sum 51,975,722
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #72025543 ← → #72025601

Radix Representation

Decimal 72025558
Binary 100010010110000010111010110 (27 bits)
Octal 0o422602726
Hexadecimal 0x44B05D6

Divisor Catalog (32)

1 2 11 22 23 46 137 253 274 506 1,039 1,507 2,078 3,014 3,151 6,302 11,429 22,858 23,897 34,661 47,794 69,322 142,343 262,867 284,686 525,734 1,565,773 3,131,546 3,273,889 6,547,778 36,012,779 72,025,558

Collatz Trajectory (251 steps to reach 1)

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

72,025,558 36,012,779 108,038,338 54,019,169 162,057,508 81,028,754 40,514,377 121,543,132 60,771,566 30,385,783 91,157,350 45,578,675 136,736,026 68,368,013 205,104,040 102,552,020 51,276,010 25,638,005 76,914,016 38,457,008 19,228,504 9,614,252 4,807,126 2,403,563 7,210,690 3,605,345 10,816,036 5,408,018 2,704,009 8,112,028 4,056,014 2,028,007 6,084,022 3,042,011 9,126,034 4,563,017 13,689,052 6,844,526 3,422,263 10,266,790 5,133,395 15,400,186 7,700,093 23,100,280 11,550,140 5,775,070 2,887,535 8,662,606 4,331,303 12,993,910 6,496,955 19,490,866 9,745,433 29,236,300 14,618,150 7,309,075 21,927,226 10,963,613 32,890,840 16,445,420

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