λ
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Atlas › Integer Profiles › Node 41,897,986

41,897,986

2 × 13 × 37 × 97 × 449
Deficient Even Composite

41,897,986 factors as 2 × 13 × 37 × 97 × 449. Its 32 positive divisors give a proper-divisor sum of 28,485,614, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 97 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,383,600
Proper Divisor Sum 28,485,614
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #41897959 ← → #41898001

Radix Representation

Decimal 41897986
Binary 10011111110101000000000010 (26 bits)
Octal 0o237650002
Hexadecimal 0x27F5002

Divisor Catalog (32)

1 2 13 26 37 74 97 194 449 481 898 962 1,261 2,522 3,589 5,837 7,178 11,674 16,613 33,226 43,553 46,657 87,106 93,314 215,969 431,938 566,189 1,132,378 1,611,461 3,222,922 20,948,993 41,897,986

Collatz Trajectory (253 steps to reach 1)

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

41,897,986 20,948,993 62,846,980 31,423,490 15,711,745 47,135,236 23,567,618 11,783,809 35,351,428 17,675,714 8,837,857 26,513,572 13,256,786 6,628,393 19,885,180 9,942,590 4,971,295 14,913,886 7,456,943 22,370,830 11,185,415 33,556,246 16,778,123 50,334,370 25,167,185 75,501,556 37,750,778 18,875,389 56,626,168 28,313,084 14,156,542 7,078,271 21,234,814 10,617,407 31,852,222 15,926,111 47,778,334 23,889,167 71,667,502 35,833,751 107,501,254 53,750,627 161,251,882 80,625,941 241,877,824 120,938,912 60,469,456 30,234,728 15,117,364 7,558,682 3,779,341 11,338,024 5,669,012 2,834,506 1,417,253 4,251,760 2,125,880 1,062,940 531,470 265,735

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