41,006,225

5² × 13 × 126173

41,006,225 factors as 5^2 × 13 × 126173. Its 12 positive divisors give a proper-divisor sum of 13,753,291, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 126173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 54,759,516

Proper Divisor Sum 13,753,291

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #41006209 ← → #41006243

Radix Representation

Decimal	41006225
Binary	10011100011011010010010001 (26 bits)
Octal	0o234332221
Hexadecimal	0x271B491

Divisor Catalog (12)

1 5 13 25 65 325 126,173 630,865 1,640,249 3,154,325 8,201,245 41,006,225

Collatz Trajectory (178 steps to reach 1)

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

41,006,225 123,018,676 61,509,338 30,754,669 92,264,008 46,132,004 23,066,002 11,533,001 34,599,004 17,299,502 8,649,751 25,949,254 12,974,627 38,923,882 19,461,941 58,385,824 29,192,912 14,596,456 7,298,228 3,649,114 1,824,557 5,473,672 2,736,836 1,368,418 684,209 2,052,628 1,026,314 513,157 1,539,472 769,736 384,868 192,434 96,217 288,652 144,326 72,163 216,490 108,245 324,736 162,368 81,184 40,592 20,296 10,148 5,074 2,537 7,612 3,806 1,903 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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