λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,167,000

26,167,000

23 × 53 × 137 × 191
Abundant Even Composite

26,167,000 factors as 2^3 × 5^3 × 137 × 191. Its 64 positive divisors give a proper-divisor sum of 35,833,640, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 137 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 62,000,640
Proper Divisor Sum 35,833,640
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #26166983 ← → #26167003

Radix Representation

Decimal 26167000
Binary 1100011110100011011011000 (25 bits)
Octal 0o143643330
Hexadecimal 0x18F46D8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 40 50 100 125 137 191 200 250 274 382 500 548 685 764 955 1,000 1,096 1,370 1,528 1,910 2,740 3,425 3,820 4,775 5,480 6,850 7,640 9,550 13,700 17,125 19,100 23,875 26,167 27,400 34,250 38,200 47,750 52,334 68,500 95,500 104,668 130,835 137,000 191,000 209,336 261,670 523,340 654,175 1,046,680 1,308,350 2,616,700 3,270,875

Collatz Trajectory (92 steps to reach 1)

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

26,167,000 13,083,500 6,541,750 3,270,875 9,812,626 4,906,313 14,718,940 7,359,470 3,679,735 11,039,206 5,519,603 16,558,810 8,279,405 24,838,216 12,419,108 6,209,554 3,104,777 9,314,332 4,657,166 2,328,583 6,985,750 3,492,875 10,478,626 5,239,313 15,717,940 7,858,970 3,929,485 11,788,456 5,894,228 2,947,114 1,473,557 4,420,672 2,210,336 1,105,168 552,584 276,292 138,146 69,073 207,220 103,610 51,805 155,416 77,708 38,854 19,427 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769

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