λ
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Atlas › Integer Profiles › Node 21,004,450

21,004,450

2 × 52 × 199 × 2111
Deficient Even Composite

21,004,450 factors as 2 × 5^2 × 199 × 2111. Its 24 positive divisors give a proper-divisor sum of 18,278,750, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 199 × 2111
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 39,283,200
Proper Divisor Sum 18,278,750
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #21004447 ← → #21004457

Radix Representation

Decimal 21004450
Binary 1010000001000000010100010 (25 bits)
Octal 0o120100242
Hexadecimal 0x14080A2

Divisor Catalog (24)

1 2 5 10 25 50 199 398 995 1,990 2,111 4,222 4,975 9,950 10,555 21,110 52,775 105,550 420,089 840,178 2,100,445 4,200,890 10,502,225 21,004,450

Collatz Trajectory (190 steps to reach 1)

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

21,004,450 10,502,225 31,506,676 15,753,338 7,876,669 23,630,008 11,815,004 5,907,502 2,953,751 8,861,254 4,430,627 13,291,882 6,645,941 19,937,824 9,968,912 4,984,456 2,492,228 1,246,114 623,057 1,869,172 934,586 467,293 1,401,880 700,940 350,470 175,235 525,706 262,853 788,560 394,280 197,140 98,570 49,285 147,856 73,928 36,964 18,482 9,241 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617

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