40,500,272

2⁴ × 2531267

40,500,272 factors as 2^4 × 2531267. Its 10 positive divisors give a proper-divisor sum of 37,969,036, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^4 × 2531267

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 78,469,308

Proper Divisor Sum 37,969,036

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #40500247 ← → #40500277

Radix Representation

Decimal	40500272
Binary	10011010011111110000110000 (26 bits)
Octal	0o232376060
Hexadecimal	0x269FC30

Divisor Catalog (10)

1 2 4 8 16 2,531,267 5,062,534 10,125,068 20,250,136 40,500,272

Collatz Trajectory (253 steps to reach 1)

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

40,500,272 20,250,136 10,125,068 5,062,534 2,531,267 7,593,802 3,796,901 11,390,704 5,695,352 2,847,676 1,423,838 711,919 2,135,758 1,067,879 3,203,638 1,601,819 4,805,458 2,402,729 7,208,188 3,604,094 1,802,047 5,406,142 2,703,071 8,109,214 4,054,607 12,163,822 6,081,911 18,245,734 9,122,867 27,368,602 13,684,301 41,052,904 20,526,452 10,263,226 5,131,613 15,394,840 7,697,420 3,848,710 1,924,355 5,773,066 2,886,533 8,659,600 4,329,800 2,164,900 1,082,450 541,225 1,623,676 811,838 405,919 1,217,758 608,879 1,826,638 913,319 2,739,958 1,369,979 4,109,938 2,054,969 6,164,908 3,082,454 1,541,227

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