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Atlas › Integer Profiles › Node 41,501,692

41,501,692

22 × 17 × 293 × 2083
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 17 × 293 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,199,696
Proper Divisor Sum 35,698,004
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #41501659 ← → #41501693

Radix Representation

Decimal 41501692
Binary 10011110010100001111111100 (26 bits)
Octal 0o236241774
Hexadecimal 0x27943FC

Divisor Catalog (24)

1 2 4 17 34 68 293 586 1,172 2,083 4,166 4,981 8,332 9,962 19,924 35,411 70,822 141,644 610,319 1,220,638 2,441,276 10,375,423 20,750,846 41,501,692

Collatz Trajectory (209 steps to reach 1)

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

41,501,692 20,750,846 10,375,423 31,126,270 15,563,135 46,689,406 23,344,703 70,034,110 35,017,055 105,051,166 52,525,583 157,576,750 78,788,375 236,365,126 118,182,563 354,547,690 177,273,845 531,821,536 265,910,768 132,955,384 66,477,692 33,238,846 16,619,423 49,858,270 24,929,135 74,787,406 37,393,703 112,181,110 56,090,555 168,271,666 84,135,833 252,407,500 126,203,750 63,101,875 189,305,626 94,652,813 283,958,440 141,979,220 70,989,610 35,494,805 106,484,416 53,242,208 26,621,104 13,310,552 6,655,276 3,327,638 1,663,819 4,991,458 2,495,729 7,487,188 3,743,594 1,871,797 5,615,392 2,807,696 1,403,848 701,924 350,962 175,481 526,444 263,222

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