41,003,249

7³ × 173 × 691

41,003,249 factors as 7^3 × 173 × 691. Its 16 positive divisors give a proper-divisor sum of 7,159,951, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 7^3 × 173 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 48,163,200

Proper Divisor Sum 7,159,951

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #41003243 ← → #41003251

Radix Representation

Decimal	41003249
Binary	10011100011010100011110001 (26 bits)
Octal	0o234324361
Hexadecimal	0x271A8F1

Divisor Catalog (16)

1 7 49 173 343 691 1,211 4,837 8,477 33,859 59,339 119,543 237,013 836,801 5,857,607 41,003,249

Collatz Trajectory (77 steps to reach 1)

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

41,003,249 123,009,748 61,504,874 30,752,437 92,257,312 46,128,656 23,064,328 11,532,164 5,766,082 2,883,041 8,649,124 4,324,562 2,162,281 6,486,844 3,243,422 1,621,711 4,865,134 2,432,567 7,297,702 3,648,851 10,946,554 5,473,277 16,419,832 8,209,916 4,104,958 2,052,479 6,157,438 3,078,719 9,236,158 4,618,079 13,854,238 6,927,119 20,781,358 10,390,679 31,172,038 15,586,019 46,758,058 23,379,029 70,137,088 35,068,544 17,534,272 8,767,136 4,383,568 2,191,784 1,095,892 547,946 273,973 821,920 410,960 205,480 102,740 51,370 25,685 77,056 38,528 19,264 9,632 4,816 2,408 1,204

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