λ
Ratio Atlas

41,004,713

79 × 97 × 5351
Deficient Odd Composite

41,004,713 factors as 79 × 97 × 5351. Its 8 positive divisors give a proper-divisor sum of 954,967, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 79 × 97 × 5351
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 41,959,680
Proper Divisor Sum 954,967
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #41004709 ← → #41004721

Radix Representation

Decimal 41004713
Binary 10011100011010111010101001 (26 bits)
Octal 0o234327251
Hexadecimal 0x271AEA9

Divisor Catalog (8)

Collatz Trajectory (129 steps to reach 1)

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

41,004,713 123,014,140 61,507,070 30,753,535 92,260,606 46,130,303 138,390,910 69,195,455 207,586,366 103,793,183 311,379,550 155,689,775 467,069,326 233,534,663 700,603,990 350,301,995 1,050,905,986 525,452,993 1,576,358,980 788,179,490 394,089,745 1,182,269,236 591,134,618 295,567,309 886,701,928 443,350,964 221,675,482 110,837,741 332,513,224 166,256,612 83,128,306 41,564,153 124,692,460 62,346,230 31,173,115 93,519,346 46,759,673 140,279,020 70,139,510 35,069,755 105,209,266 52,604,633 157,813,900 78,906,950 39,453,475 118,360,426 59,180,213 177,540,640 88,770,320 44,385,160 22,192,580 11,096,290 5,548,145 16,644,436 8,322,218 4,161,109 12,483,328 6,241,664 3,120,832 1,560,416

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