λ
Ratio Atlas

4,211,355

3 × 5 × 223 × 1259
Deficient Odd Composite

4,211,355 factors as 3 × 5 × 223 × 1259. Its 16 positive divisors give a proper-divisor sum of 2,562,405, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3 × 5 × 223 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 2,562,405
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4211321 ← → #4211371

Radix Representation

Decimal 4211355
Binary 10000000100001010011011 (23 bits)
Octal 0o20041233
Hexadecimal 0x40429B

Divisor Catalog (16)

1 3 5 15 223 669 1,115 1,259 3,345 3,777 6,295 18,885 280,757 842,271 1,403,785 4,211,355

Collatz Trajectory (154 steps to reach 1)

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

4,211,355 12,634,066 6,317,033 18,951,100 9,475,550 4,737,775 14,213,326 7,106,663 21,319,990 10,659,995 31,979,986 15,989,993 47,969,980 23,984,990 11,992,495 35,977,486 17,988,743 53,966,230 26,983,115 80,949,346 40,474,673 121,424,020 60,712,010 30,356,005 91,068,016 45,534,008 22,767,004 11,383,502 5,691,751 17,075,254 8,537,627 25,612,882 12,806,441 38,419,324 19,209,662 9,604,831 28,814,494 14,407,247 43,221,742 21,610,871 64,832,614 32,416,307 97,248,922 48,624,461 145,873,384 72,936,692 36,468,346 18,234,173 54,702,520 27,351,260 13,675,630 6,837,815 20,513,446 10,256,723 30,770,170 15,385,085 46,155,256 23,077,628 11,538,814 5,769,407

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