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Atlas › Integer Profiles › Node 26,318,130

26,318,130

2 × 3 × 5 × 59 × 14869
Abundant Even Composite

26,318,130 factors as 2 × 3 × 5 × 59 × 14869. Its 32 positive divisors give a proper-divisor sum of 37,920,270, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 14869
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,238,400
Proper Divisor Sum 37,920,270
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #26318129 ← → #26318197

Radix Representation

Decimal 26318130
Binary 1100100011001010100110010 (25 bits)
Octal 0o144312462
Hexadecimal 0x1919532

Divisor Catalog (32)

1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1,770 14,869 29,738 44,607 74,345 89,214 148,690 223,035 446,070 877,271 1,754,542 2,631,813 4,386,355 5,263,626 8,772,710 13,159,065 26,318,130

Collatz Trajectory (224 steps to reach 1)

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

26,318,130 13,159,065 39,477,196 19,738,598 9,869,299 29,607,898 14,803,949 44,411,848 22,205,924 11,102,962 5,551,481 16,654,444 8,327,222 4,163,611 12,490,834 6,245,417 18,736,252 9,368,126 4,684,063 14,052,190 7,026,095 21,078,286 10,539,143 31,617,430 15,808,715 47,426,146 23,713,073 71,139,220 35,569,610 17,784,805 53,354,416 26,677,208 13,338,604 6,669,302 3,334,651 10,003,954 5,001,977 15,005,932 7,502,966 3,751,483 11,254,450 5,627,225 16,881,676 8,440,838 4,220,419 12,661,258 6,330,629 18,991,888 9,495,944 4,747,972 2,373,986 1,186,993 3,560,980 1,780,490 890,245 2,670,736 1,335,368 667,684 333,842 166,921

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