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Atlas › Integer Profiles › Node 5,656,446

5,656,446

2 × 33 × 312 × 109
Abundant Even Composite

5,656,446 factors as 2 × 3^3 × 31^2 × 109. Its 48 positive divisors give a proper-divisor sum of 7,451,154, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 31^2 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,107,600
Proper Divisor Sum 7,451,154
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5656439 ← → #5656463

Radix Representation

Decimal 5656446
Binary 10101100100111101111110 (23 bits)
Octal 0o25447576
Hexadecimal 0x564F7E

Divisor Catalog (48)

1 2 3 6 9 18 27 31 54 62 93 109 186 218 279 327 558 654 837 961 981 1,674 1,922 1,962 2,883 2,943 3,379 5,766 5,886 6,758 8,649 10,137 17,298 20,274 25,947 30,411 51,894 60,822 91,233 104,749 182,466 209,498 314,247 628,494 942,741 1,885,482 2,828,223 5,656,446

Collatz Trajectory (108 steps to reach 1)

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

5,656,446 2,828,223 8,484,670 4,242,335 12,727,006 6,363,503 19,090,510 9,545,255 28,635,766 14,317,883 42,953,650 21,476,825 64,430,476 32,215,238 16,107,619 48,322,858 24,161,429 72,484,288 36,242,144 18,121,072 9,060,536 4,530,268 2,265,134 1,132,567 3,397,702 1,698,851 5,096,554 2,548,277 7,644,832 3,822,416 1,911,208 955,604 477,802 238,901 716,704 358,352 179,176 89,588 44,794 22,397 67,192 33,596 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882

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