λ
Zalai Atlas

7,571,764

22 × 89 × 21269
Deficient Even Composite

7,571,764 has the prime decomposition 2^2 × 89 × 21269. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 89 × 21269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,400,100
Proper Divisor Sum 5,828,336
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7571743 ← → #7571771

Radix Representation

Decimal 7571764
Binary 11100111000100100110100 (23 bits)
Octal 0o34704464
Hexadecimal 0x738934

Divisor Catalog (12)

1 2 4 89 178 356 21,269 42,538 85,076 1,892,941 3,785,882 7,571,764

Collatz Trajectory (142 steps to reach 1)

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

7,571,764 3,785,882 1,892,941 5,678,824 2,839,412 1,419,706 709,853 2,129,560 1,064,780 532,390 266,195 798,586 399,293 1,197,880 598,940 299,470 149,735 449,206 224,603 673,810 336,905 1,010,716 505,358 252,679 758,038 379,019 1,137,058 568,529 1,705,588 852,794 426,397 1,279,192 639,596 319,798 159,899 479,698 239,849 719,548 359,774 179,887 539,662 269,831 809,494 404,747 1,214,242 607,121 1,821,364 910,682 455,341 1,366,024 683,012 341,506 170,753 512,260 256,130 128,065 384,196 192,098 96,049 288,148

More profiles

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