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Atlas › Integer Profiles › Node 26,318,940

26,318,940

22 × 3 × 5 × 67 × 6547
Abundant Even Composite

26,318,940 factors as 2^2 × 3 × 5 × 67 × 6547. Its 48 positive divisors give a proper-divisor sum of 48,485,412, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 67 × 6547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 74,804,352
Proper Divisor Sum 48,485,412
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26318939 ← → #26318947

Radix Representation

Decimal 26318940
Binary 1100100011001100001011100 (25 bits)
Octal 0o144314134
Hexadecimal 0x191985C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1,005 1,340 2,010 4,020 6,547 13,094 19,641 26,188 32,735 39,282 65,470 78,564 98,205 130,940 196,410 392,820 438,649 877,298 1,315,947 1,754,596 2,193,245 2,631,894 4,386,490 5,263,788 6,579,735 8,772,980 13,159,470 26,318,940

Collatz Trajectory (118 steps to reach 1)

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

26,318,940 13,159,470 6,579,735 19,739,206 9,869,603 29,608,810 14,804,405 44,413,216 22,206,608 11,103,304 5,551,652 2,775,826 1,387,913 4,163,740 2,081,870 1,040,935 3,122,806 1,561,403 4,684,210 2,342,105 7,026,316 3,513,158 1,756,579 5,269,738 2,634,869 7,904,608 3,952,304 1,976,152 988,076 494,038 247,019 741,058 370,529 1,111,588 555,794 277,897 833,692 416,846 208,423 625,270 312,635 937,906 468,953 1,406,860 703,430 351,715 1,055,146 527,573 1,582,720 791,360 395,680 197,840 98,920 49,460 24,730 12,365 37,096 18,548 9,274 4,637

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