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Atlas › Integer Profiles › Node 21,576,816

21,576,816

24 × 32 × 149839
Abundant Even Composite

21,576,816 factors as 2^4 × 3^2 × 149839. Its 30 positive divisors give a proper-divisor sum of 38,808,704, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 149839
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 60,385,520
Proper Divisor Sum 38,808,704
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #21576787 ← → #21576817

Radix Representation

Decimal 21576816
Binary 1010010010011110001110000 (25 bits)
Octal 0o122236160
Hexadecimal 0x1493C70

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149,839 299,678 449,517 599,356 899,034 1,198,712 1,348,551 1,798,068 2,397,424 2,697,102 3,596,136 5,394,204 7,192,272 10,788,408 21,576,816

Collatz Trajectory (141 steps to reach 1)

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

21,576,816 10,788,408 5,394,204 2,697,102 1,348,551 4,045,654 2,022,827 6,068,482 3,034,241 9,102,724 4,551,362 2,275,681 6,827,044 3,413,522 1,706,761 5,120,284 2,560,142 1,280,071 3,840,214 1,920,107 5,760,322 2,880,161 8,640,484 4,320,242 2,160,121 6,480,364 3,240,182 1,620,091 4,860,274 2,430,137 7,290,412 3,645,206 1,822,603 5,467,810 2,733,905 8,201,716 4,100,858 2,050,429 6,151,288 3,075,644 1,537,822 768,911 2,306,734 1,153,367 3,460,102 1,730,051 5,190,154 2,595,077 7,785,232 3,892,616 1,946,308 973,154 486,577 1,459,732 729,866 364,933 1,094,800 547,400 273,700 136,850

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