41,578,901

7² × 13² × 5021

41,578,901 factors as 7^2 × 13^2 × 5021. Its 18 positive divisors give a proper-divisor sum of 10,805,581, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 7^2 × 13^2 × 5021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 52,384,482

Proper Divisor Sum 10,805,581

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #41578877 ← → #41578919

Radix Representation

Decimal	41578901
Binary	10011110100111000110010101 (26 bits)
Octal	0o236470625
Hexadecimal	0x27A7195

Divisor Catalog (18)

1 7 13 49 91 169 637 1,183 5,021 8,281 35,147 65,273 246,029 456,911 848,549 3,198,377 5,939,843 41,578,901

Collatz Trajectory (222 steps to reach 1)

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

41,578,901 124,736,704 62,368,352 31,184,176 15,592,088 7,796,044 3,898,022 1,949,011 5,847,034 2,923,517 8,770,552 4,385,276 2,192,638 1,096,319 3,288,958 1,644,479 4,933,438 2,466,719 7,400,158 3,700,079 11,100,238 5,550,119 16,650,358 8,325,179 24,975,538 12,487,769 37,463,308 18,731,654 9,365,827 28,097,482 14,048,741 42,146,224 21,073,112 10,536,556 5,268,278 2,634,139 7,902,418 3,951,209 11,853,628 5,926,814 2,963,407 8,890,222 4,445,111 13,335,334 6,667,667 20,003,002 10,001,501 30,004,504 15,002,252 7,501,126 3,750,563 11,251,690 5,625,845 16,877,536 8,438,768 4,219,384 2,109,692 1,054,846 527,423 1,582,270

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