40,211,458

2 × 7² × 29 × 14149

40,211,458 factors as 2 × 7^2 × 29 × 14149. Its 24 positive divisors give a proper-divisor sum of 32,378,042, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 29 × 14149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 72,589,500

Proper Divisor Sum 32,378,042

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #40211419 ← → #40211459

Radix Representation

Decimal	40211458
Binary	10011001011001010000000010 (26 bits)
Octal	0o231312002
Hexadecimal	0x2659402

Divisor Catalog (24)

Collatz Trajectory (116 steps to reach 1)

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

40,211,458 20,105,729 60,317,188 30,158,594 15,079,297 45,237,892 22,618,946 11,309,473 33,928,420 16,964,210 8,482,105 25,446,316 12,723,158 6,361,579 19,084,738 9,542,369 28,627,108 14,313,554 7,156,777 21,470,332 10,735,166 5,367,583 16,102,750 8,051,375 24,154,126 12,077,063 36,231,190 18,115,595 54,346,786 27,173,393 81,520,180 40,760,090 20,380,045 61,140,136 30,570,068 15,285,034 7,642,517 22,927,552 11,463,776 5,731,888 2,865,944 1,432,972 716,486 358,243 1,074,730 537,365 1,612,096 806,048 403,024 201,512 100,756 50,378 25,189 75,568 37,784 18,892 9,446 4,723 14,170 7,085

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