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Atlas › Integer Profiles › Node 41,019,092

41,019,092

22 × 107 × 239 × 401
Deficient Even Composite

41,019,092 factors as 2^2 × 107 × 239 × 401. Its 24 positive divisors give a proper-divisor sum of 31,919,788, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 107 × 239 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 72,938,880
Proper Divisor Sum 31,919,788
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #41019089 ← → #41019133

Radix Representation

Decimal 41019092
Binary 10011100011110011011010100 (26 bits)
Octal 0o234363324
Hexadecimal 0x271E6D4

Divisor Catalog (24)

1 2 4 107 214 239 401 428 478 802 956 1,604 25,573 42,907 51,146 85,814 95,839 102,292 171,628 191,678 383,356 10,254,773 20,509,546 41,019,092

Collatz Trajectory (178 steps to reach 1)

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

41,019,092 20,509,546 10,254,773 30,764,320 15,382,160 7,691,080 3,845,540 1,922,770 961,385 2,884,156 1,442,078 721,039 2,163,118 1,081,559 3,244,678 1,622,339 4,867,018 2,433,509 7,300,528 3,650,264 1,825,132 912,566 456,283 1,368,850 684,425 2,053,276 1,026,638 513,319 1,539,958 769,979 2,309,938 1,154,969 3,464,908 1,732,454 866,227 2,598,682 1,299,341 3,898,024 1,949,012 974,506 487,253 1,461,760 730,880 365,440 182,720 91,360 45,680 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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