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Atlas › Integer Profiles › Node 40,501,538

40,501,538

2 × 72 × 11 × 37571
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 37571
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,097,744
Proper Divisor Sum 36,596,206
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40501529 ← → #40501541

Radix Representation

Decimal 40501538
Binary 10011010100000000100100010 (26 bits)
Octal 0o232400442
Hexadecimal 0x26A0122

Divisor Catalog (24)

1 2 7 11 14 22 49 77 98 154 539 1,078 37,571 75,142 262,997 413,281 525,994 826,562 1,840,979 2,892,967 3,681,958 5,785,934 20,250,769 40,501,538

Collatz Trajectory (253 steps to reach 1)

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

40,501,538 20,250,769 60,752,308 30,376,154 15,188,077 45,564,232 22,782,116 11,391,058 5,695,529 17,086,588 8,543,294 4,271,647 12,814,942 6,407,471 19,222,414 9,611,207 28,833,622 14,416,811 43,250,434 21,625,217 64,875,652 32,437,826 16,218,913 48,656,740 24,328,370 12,164,185 36,492,556 18,246,278 9,123,139 27,369,418 13,684,709 41,054,128 20,527,064 10,263,532 5,131,766 2,565,883 7,697,650 3,848,825 11,546,476 5,773,238 2,886,619 8,659,858 4,329,929 12,989,788 6,494,894 3,247,447 9,742,342 4,871,171 14,613,514 7,306,757 21,920,272 10,960,136 5,480,068 2,740,034 1,370,017 4,110,052 2,055,026 1,027,513 3,082,540 1,541,270

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