λ
Ratio Atlas

21,363,582

2 × 3 × 3560597
Abundant Even Composite

21,363,582 factors as 2 × 3 × 3560597. Its 8 positive divisors give a proper-divisor sum of 21,363,594, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2 × 3 × 3560597
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 42,727,176
Proper Divisor Sum 21,363,594
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #21363497 ← → #21363593

Radix Representation

Decimal 21363582
Binary 1010001011111101101111110 (25 bits)
Octal 0o121375576
Hexadecimal 0x145FB7E

Divisor Catalog (8)

Collatz Trajectory (203 steps to reach 1)

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

21,363,582 10,681,791 32,045,374 16,022,687 48,068,062 24,034,031 72,102,094 36,051,047 108,153,142 54,076,571 162,229,714 81,114,857 243,344,572 121,672,286 60,836,143 182,508,430 91,254,215 273,762,646 136,881,323 410,643,970 205,321,985 615,965,956 307,982,978 153,991,489 461,974,468 230,987,234 115,493,617 346,480,852 173,240,426 86,620,213 259,860,640 129,930,320 64,965,160 32,482,580 16,241,290 8,120,645 24,361,936 12,180,968 6,090,484 3,045,242 1,522,621 4,567,864 2,283,932 1,141,966 570,983 1,712,950 856,475 2,569,426 1,284,713 3,854,140 1,927,070 963,535 2,890,606 1,445,303 4,335,910 2,167,955 6,503,866 3,251,933 9,755,800 4,877,900

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