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Atlas › Integer Profiles › Node 26,944,152

26,944,152

23 × 3 × 743 × 1511
Abundant Even Composite

26,944,152 factors as 2^3 × 3 × 743 × 1511. Its 32 positive divisors give a proper-divisor sum of 40,551,528, so this integer is abundant. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 743 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,495,680
Proper Divisor Sum 40,551,528
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26944121 ← → #26944153

Radix Representation

Decimal 26944152
Binary 1100110110010001010011000 (25 bits)
Octal 0o146621230
Hexadecimal 0x19B2298

Divisor Catalog (32)

1 2 3 4 6 8 12 24 743 1,486 1,511 2,229 2,972 3,022 4,458 4,533 5,944 6,044 8,916 9,066 12,088 17,832 18,132 36,264 1,122,673 2,245,346 3,368,019 4,490,692 6,736,038 8,981,384 13,472,076 26,944,152

Collatz Trajectory (286 steps to reach 1)

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

26,944,152 13,472,076 6,736,038 3,368,019 10,104,058 5,052,029 15,156,088 7,578,044 3,789,022 1,894,511 5,683,534 2,841,767 8,525,302 4,262,651 12,787,954 6,393,977 19,181,932 9,590,966 4,795,483 14,386,450 7,193,225 21,579,676 10,789,838 5,394,919 16,184,758 8,092,379 24,277,138 12,138,569 36,415,708 18,207,854 9,103,927 27,311,782 13,655,891 40,967,674 20,483,837 61,451,512 30,725,756 15,362,878 7,681,439 23,044,318 11,522,159 34,566,478 17,283,239 51,849,718 25,924,859 77,774,578 38,887,289 116,661,868 58,330,934 29,165,467 87,496,402 43,748,201 131,244,604 65,622,302 32,811,151 98,433,454 49,216,727 147,650,182 73,825,091 221,475,274

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