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Atlas › Integer Profiles › Node 41,002,374

41,002,374

2 × 3 × 7 × 313 × 3119
Abundant Even Composite

41,002,374 factors as 2 × 3 × 7 × 313 × 3119. Its 32 positive divisors give a proper-divisor sum of 53,046,906, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 313 × 3119
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,049,280
Proper Divisor Sum 53,046,906
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41002369 ← → #41002387

Radix Representation

Decimal 41002374
Binary 10011100011010010110000110 (26 bits)
Octal 0o234322606
Hexadecimal 0x271A586

Divisor Catalog (32)

1 2 3 6 7 14 21 42 313 626 939 1,878 2,191 3,119 4,382 6,238 6,573 9,357 13,146 18,714 21,833 43,666 65,499 130,998 976,247 1,952,494 2,928,741 5,857,482 6,833,729 13,667,458 20,501,187 41,002,374

Collatz Trajectory (222 steps to reach 1)

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

41,002,374 20,501,187 61,503,562 30,751,781 92,255,344 46,127,672 23,063,836 11,531,918 5,765,959 17,297,878 8,648,939 25,946,818 12,973,409 38,920,228 19,460,114 9,730,057 29,190,172 14,595,086 7,297,543 21,892,630 10,946,315 32,838,946 16,419,473 49,258,420 24,629,210 12,314,605 36,943,816 18,471,908 9,235,954 4,617,977 13,853,932 6,926,966 3,463,483 10,390,450 5,195,225 15,585,676 7,792,838 3,896,419 11,689,258 5,844,629 17,533,888 8,766,944 4,383,472 2,191,736 1,095,868 547,934 273,967 821,902 410,951 1,232,854 616,427 1,849,282 924,641 2,773,924 1,386,962 693,481 2,080,444 1,040,222 520,111 1,560,334

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