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Atlas › Integer Profiles › Node 21,450,064

21,450,064

24 × 191 × 7019
Deficient Even Composite

21,450,064 factors as 2^4 × 191 × 7019. Its 20 positive divisors give a proper-divisor sum of 20,332,976, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^4 × 191 × 7019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 41,783,040
Proper Divisor Sum 20,332,976
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #21450061 ← → #21450083

Radix Representation

Decimal 21450064
Binary 1010001110100110101010000 (25 bits)
Octal 0o121646520
Hexadecimal 0x1474D50

Divisor Catalog (20)

1 2 4 8 16 191 382 764 1,528 3,056 7,019 14,038 28,076 56,152 112,304 1,340,629 2,681,258 5,362,516 10,725,032 21,450,064

Collatz Trajectory (97 steps to reach 1)

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

21,450,064 10,725,032 5,362,516 2,681,258 1,340,629 4,021,888 2,010,944 1,005,472 502,736 251,368 125,684 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634

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