λ
Ratio Atlas

21,601,819

21601819
Deficient Odd Prime

21,601,819 factors as 21601819. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 21601819
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 21,601,820
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #21601817 ← → #21601831

Radix Representation

Decimal 21601819
Binary 1010010011001111000011011 (25 bits)
Octal 0o122317033
Hexadecimal 0x1499E1B

Divisor Catalog (2)

Collatz Trajectory (278 steps to reach 1)

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

21,601,819 64,805,458 32,402,729 97,208,188 48,604,094 24,302,047 72,906,142 36,453,071 109,359,214 54,679,607 164,038,822 82,019,411 246,058,234 123,029,117 369,087,352 184,543,676 92,271,838 46,135,919 138,407,758 69,203,879 207,611,638 103,805,819 311,417,458 155,708,729 467,126,188 233,563,094 116,781,547 350,344,642 175,172,321 525,516,964 262,758,482 131,379,241 394,137,724 197,068,862 98,534,431 295,603,294 147,801,647 443,404,942 221,702,471 665,107,414 332,553,707 997,661,122 498,830,561 1,496,491,684 748,245,842 374,122,921 1,122,368,764 561,184,382 280,592,191 841,776,574 420,888,287 1,262,664,862 631,332,431 1,893,997,294 946,998,647 2,840,995,942 1,420,497,971 4,261,493,914 2,130,746,957 6,392,240,872

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