41,008,981

13 × 17 × 97 × 1913

41,008,981 factors as 13 × 17 × 97 × 1913. Its 16 positive divisors give a proper-divisor sum of 6,259,163, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 13 × 17 × 97 × 1913

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,268,144

Proper Divisor Sum 6,259,163

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #41008967 ← → #41008993

Radix Representation

Decimal	41008981
Binary	10011100011011111101010101 (26 bits)
Octal	0o234337525
Hexadecimal	0x271BF55

Divisor Catalog (16)

1 13 17 97 221 1,261 1,649 1,913 21,437 24,869 32,521 185,561 422,773 2,412,293 3,154,537 41,008,981

Collatz Trajectory (222 steps to reach 1)

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

41,008,981 123,026,944 61,513,472 30,756,736 15,378,368 7,689,184 3,844,592 1,922,296 961,148 480,574 240,287 720,862 360,431 1,081,294 540,647 1,621,942 810,971 2,432,914 1,216,457 3,649,372 1,824,686 912,343 2,737,030 1,368,515 4,105,546 2,052,773 6,158,320 3,079,160 1,539,580 769,790 384,895 1,154,686 577,343 1,732,030 866,015 2,598,046 1,299,023 3,897,070 1,948,535 5,845,606 2,922,803 8,768,410 4,384,205 13,152,616 6,576,308 3,288,154 1,644,077 4,932,232 2,466,116 1,233,058 616,529 1,849,588 924,794 462,397 1,387,192 693,596 346,798 173,399 520,198 260,099

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