λ
Match Zalai

3,273,727

41 × 79847
Deficient Odd Composite

3,273,727 factors as 41 × 79847. Its 4 positive divisors give a proper-divisor sum of 79,889, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 41 × 79847
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,353,616
Proper Divisor Sum 79,889
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3273703 ← → #3273737

Radix Representation

Decimal 3273727
Binary 1100011111001111111111 (22 bits)
Octal 0o14371777
Hexadecimal 0x31F3FF

Divisor Catalog (4)

1 41 79,847 3,273,727

Collatz Trajectory (146 steps to reach 1)

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

3,273,727 9,821,182 4,910,591 14,731,774 7,365,887 22,097,662 11,048,831 33,146,494 16,573,247 49,719,742 24,859,871 74,579,614 37,289,807 111,869,422 55,934,711 167,804,134 83,902,067 251,706,202 125,853,101 377,559,304 188,779,652 94,389,826 47,194,913 141,584,740 70,792,370 35,396,185 106,188,556 53,094,278 26,547,139 79,641,418 39,820,709 119,462,128 59,731,064 29,865,532 14,932,766 7,466,383 22,399,150 11,199,575 33,598,726 16,799,363 50,398,090 25,199,045 75,597,136 37,798,568 18,899,284 9,449,642 4,724,821 14,174,464 7,087,232 3,543,616 1,771,808 885,904 442,952 221,476 110,738 55,369 166,108 83,054 41,527 124,582

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