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Atlas › Integer Profiles › Node 26,329,470

26,329,470

2 × 3 × 5 × 821 × 1069
Abundant Even Composite

26,329,470 factors as 2 × 3 × 5 × 821 × 1069. Its 32 positive divisors give a proper-divisor sum of 36,997,410, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 821 × 1069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,326,880
Proper Divisor Sum 36,997,410
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26329463 ← → #26329483

Radix Representation

Decimal 26329470
Binary 1100100011100000101111110 (25 bits)
Octal 0o144340576
Hexadecimal 0x191C17E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 821 1,069 1,642 2,138 2,463 3,207 4,105 4,926 5,345 6,414 8,210 10,690 12,315 16,035 24,630 32,070 877,649 1,755,298 2,632,947 4,388,245 5,265,894 8,776,490 13,164,735 26,329,470

Collatz Trajectory (224 steps to reach 1)

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

26,329,470 13,164,735 39,494,206 19,747,103 59,241,310 29,620,655 88,861,966 44,430,983 133,292,950 66,646,475 199,939,426 99,969,713 299,909,140 149,954,570 74,977,285 224,931,856 112,465,928 56,232,964 28,116,482 14,058,241 42,174,724 21,087,362 10,543,681 31,631,044 15,815,522 7,907,761 23,723,284 11,861,642 5,930,821 17,792,464 8,896,232 4,448,116 2,224,058 1,112,029 3,336,088 1,668,044 834,022 417,011 1,251,034 625,517 1,876,552 938,276 469,138 234,569 703,708 351,854 175,927 527,782 263,891 791,674 395,837 1,187,512 593,756 296,878 148,439 445,318 222,659 667,978 333,989 1,001,968

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