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Atlas › Integer Profiles › Node 35,025,856

35,025,856

26 × 617 × 887
Deficient Even Composite

35,025,856 factors as 2^6 × 617 × 887. Its 28 positive divisors give a proper-divisor sum of 34,669,712, so this integer is deficient. The Collatz stopping time is 320 steps.

Prime Factor Structure

Factorization String 2^6 × 617 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 69,695,568
Proper Divisor Sum 34,669,712
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #35025839 ← → #35025883

Radix Representation

Decimal 35025856
Binary 10000101100111001111000000 (26 bits)
Octal 0o205471700
Hexadecimal 0x21673C0

Divisor Catalog (28)

1 2 4 8 16 32 64 617 887 1,234 1,774 2,468 3,548 4,936 7,096 9,872 14,192 19,744 28,384 39,488 56,768 547,279 1,094,558 2,189,116 4,378,232 8,756,464 17,512,928 35,025,856

Collatz Trajectory (320 steps to reach 1)

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

35,025,856 17,512,928 8,756,464 4,378,232 2,189,116 1,094,558 547,279 1,641,838 820,919 2,462,758 1,231,379 3,694,138 1,847,069 5,541,208 2,770,604 1,385,302 692,651 2,077,954 1,038,977 3,116,932 1,558,466 779,233 2,337,700 1,168,850 584,425 1,753,276 876,638 438,319 1,314,958 657,479 1,972,438 986,219 2,958,658 1,479,329 4,437,988 2,218,994 1,109,497 3,328,492 1,664,246 832,123 2,496,370 1,248,185 3,744,556 1,872,278 936,139 2,808,418 1,404,209 4,212,628 2,106,314 1,053,157 3,159,472 1,579,736 789,868 394,934 197,467 592,402 296,201 888,604 444,302 222,151

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