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Atlas › Integer Profiles › Node 21,735,469

21,735,469

72 × 17 × 97 × 269
Deficient Odd Composite

21,735,469 factors as 7^2 × 17 × 97 × 269. Its 24 positive divisors give a proper-divisor sum of 5,412,491, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 7^2 × 17 × 97 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,147,960
Proper Divisor Sum 5,412,491
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #21735463 ← → #21735473

Radix Representation

Decimal 21735469
Binary 1010010111010100000101101 (25 bits)
Octal 0o122724055
Hexadecimal 0x14BA82D

Divisor Catalog (24)

1 7 17 49 97 119 269 679 833 1,649 1,883 4,573 4,753 11,543 13,181 26,093 32,011 80,801 182,651 224,077 443,581 1,278,557 3,105,067 21,735,469

Collatz Trajectory (141 steps to reach 1)

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

21,735,469 65,206,408 32,603,204 16,301,602 8,150,801 24,452,404 12,226,202 6,113,101 18,339,304 9,169,652 4,584,826 2,292,413 6,877,240 3,438,620 1,719,310 859,655 2,578,966 1,289,483 3,868,450 1,934,225 5,802,676 2,901,338 1,450,669 4,352,008 2,176,004 1,088,002 544,001 1,632,004 816,002 408,001 1,224,004 612,002 306,001 918,004 459,002 229,501 688,504 344,252 172,126 86,063 258,190 129,095 387,286 193,643 580,930 290,465 871,396 435,698 217,849 653,548 326,774 163,387 490,162 245,081 735,244 367,622 183,811 551,434 275,717 827,152

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