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Atlas › Integer Profiles › Node 26,319,655

26,319,655

5 × 17 × 19 × 43 × 379
Deficient Odd Composite

26,319,655 factors as 5 × 17 × 19 × 43 × 379. Its 32 positive divisors give a proper-divisor sum of 9,795,545, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 5 × 17 × 19 × 43 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,115,200
Proper Divisor Sum 9,795,545
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #26319611 ← → #26319661

Radix Representation

Decimal 26319655
Binary 1100100011001101100100111 (25 bits)
Octal 0o144315447
Hexadecimal 0x1919B27

Divisor Catalog (32)

1 5 17 19 43 85 95 215 323 379 731 817 1,615 1,895 3,655 4,085 6,443 7,201 13,889 16,297 32,215 36,005 69,445 81,485 122,417 277,049 309,643 612,085 1,385,245 1,548,215 5,263,931 26,319,655

Collatz Trajectory (260 steps to reach 1)

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

26,319,655 78,958,966 39,479,483 118,438,450 59,219,225 177,657,676 88,828,838 44,414,419 133,243,258 66,621,629 199,864,888 99,932,444 49,966,222 24,983,111 74,949,334 37,474,667 112,424,002 56,212,001 168,636,004 84,318,002 42,159,001 126,477,004 63,238,502 31,619,251 94,857,754 47,428,877 142,286,632 71,143,316 35,571,658 17,785,829 53,357,488 26,678,744 13,339,372 6,669,686 3,334,843 10,004,530 5,002,265 15,006,796 7,503,398 3,751,699 11,255,098 5,627,549 16,882,648 8,441,324 4,220,662 2,110,331 6,330,994 3,165,497 9,496,492 4,748,246 2,374,123 7,122,370 3,561,185 10,683,556 5,341,778 2,670,889 8,012,668 4,006,334 2,003,167 6,009,502

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