λ
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Atlas › Integer Profiles › Node 21,345,298

21,345,298

2 × 13 × 31 × 71 × 373
Deficient Even Composite

21,345,298 factors as 2 × 13 × 31 × 71 × 373. Its 32 positive divisors give a proper-divisor sum of 14,845,934, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2 × 13 × 31 × 71 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,191,232
Proper Divisor Sum 14,845,934
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #21345287 ← → #21345347

Radix Representation

Decimal 21345298
Binary 1010001011011010000010010 (25 bits)
Octal 0o121332022
Hexadecimal 0x145B412

Divisor Catalog (32)

1 2 13 26 31 62 71 142 373 403 746 806 923 1,846 2,201 4,402 4,849 9,698 11,563 23,126 26,483 28,613 52,966 57,226 150,319 300,638 344,279 688,558 820,973 1,641,946 10,672,649 21,345,298

Collatz Trajectory (265 steps to reach 1)

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

21,345,298 10,672,649 32,017,948 16,008,974 8,004,487 24,013,462 12,006,731 36,020,194 18,010,097 54,030,292 27,015,146 13,507,573 40,522,720 20,261,360 10,130,680 5,065,340 2,532,670 1,266,335 3,799,006 1,899,503 5,698,510 2,849,255 8,547,766 4,273,883 12,821,650 6,410,825 19,232,476 9,616,238 4,808,119 14,424,358 7,212,179 21,636,538 10,818,269 32,454,808 16,227,404 8,113,702 4,056,851 12,170,554 6,085,277 18,255,832 9,127,916 4,563,958 2,281,979 6,845,938 3,422,969 10,268,908 5,134,454 2,567,227 7,701,682 3,850,841 11,552,524 5,776,262 2,888,131 8,664,394 4,332,197 12,996,592 6,498,296 3,249,148 1,624,574 812,287

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