41,006,727

3² × 719 × 6337

41,006,727 factors as 3^2 × 719 × 6337. Its 12 positive divisors give a proper-divisor sum of 18,316,953, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 3^2 × 719 × 6337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 59,323,680

Proper Divisor Sum 18,316,953

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #41006717 ← → #41006729

Radix Representation

Decimal	41006727
Binary	10011100011011011010000111 (26 bits)
Octal	0o234333207
Hexadecimal	0x271B687

Divisor Catalog (12)

1 3 9 719 2,157 6,337 6,471 19,011 57,033 4,556,303 13,668,909 41,006,727

Collatz Trajectory (253 steps to reach 1)

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

41,006,727 123,020,182 61,510,091 184,530,274 92,265,137 276,795,412 138,397,706 69,198,853 207,596,560 103,798,280 51,899,140 25,949,570 12,974,785 38,924,356 19,462,178 9,731,089 29,193,268 14,596,634 7,298,317 21,894,952 10,947,476 5,473,738 2,736,869 8,210,608 4,105,304 2,052,652 1,026,326 513,163 1,539,490 769,745 2,309,236 1,154,618 577,309 1,731,928 865,964 432,982 216,491 649,474 324,737 974,212 487,106 243,553 730,660 365,330 182,665 547,996 273,998 136,999 410,998 205,499 616,498 308,249 924,748 462,374 231,187 693,562 346,781 1,040,344 520,172 260,086

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