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Atlas › Integer Profiles › Node 41,758,496

41,758,496

25 × 13 × 37 × 2713
Abundant Even Composite

41,758,496 factors as 2^5 × 13 × 37 × 2713. Its 48 positive divisors give a proper-divisor sum of 49,203,928, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 37 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 90,962,424
Proper Divisor Sum 49,203,928
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #41758471 ← → #41758499

Radix Representation

Decimal 41758496
Binary 10011111010010111100100000 (26 bits)
Octal 0o237227440
Hexadecimal 0x27D2F20

Divisor Catalog (48)

1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1,184 1,924 2,713 3,848 5,426 7,696 10,852 15,392 21,704 35,269 43,408 70,538 86,816 100,381 141,076 200,762 282,152 401,524 564,304 803,048 1,128,608 1,304,953 1,606,096 2,609,906 3,212,192 5,219,812 10,439,624 20,879,248 41,758,496

Collatz Trajectory (160 steps to reach 1)

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

41,758,496 20,879,248 10,439,624 5,219,812 2,609,906 1,304,953 3,914,860 1,957,430 978,715 2,936,146 1,468,073 4,404,220 2,202,110 1,101,055 3,303,166 1,651,583 4,954,750 2,477,375 7,432,126 3,716,063 11,148,190 5,574,095 16,722,286 8,361,143 25,083,430 12,541,715 37,625,146 18,812,573 56,437,720 28,218,860 14,109,430 7,054,715 21,164,146 10,582,073 31,746,220 15,873,110 7,936,555 23,809,666 11,904,833 35,714,500 17,857,250 8,928,625 26,785,876 13,392,938 6,696,469 20,089,408 10,044,704 5,022,352 2,511,176 1,255,588 627,794 313,897 941,692 470,846 235,423 706,270 353,135 1,059,406 529,703 1,589,110

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