41,003,336

2³ × 11 × 465947

41,003,336 factors as 2^3 × 11 × 465947. Its 16 positive divisors give a proper-divisor sum of 42,867,304, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 465947

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 83,870,640

Proper Divisor Sum 42,867,304

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #41003327 ← → #41003357

Radix Representation

Decimal	41003336
Binary	10011100011010100101001000 (26 bits)
Octal	0o234324510
Hexadecimal	0x271A948

Divisor Catalog (16)

1 2 4 8 11 22 44 88 465,947 931,894 1,863,788 3,727,576 5,125,417 10,250,834 20,501,668 41,003,336

Collatz Trajectory (253 steps to reach 1)

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

41,003,336 20,501,668 10,250,834 5,125,417 15,376,252 7,688,126 3,844,063 11,532,190 5,766,095 17,298,286 8,649,143 25,947,430 12,973,715 38,921,146 19,460,573 58,381,720 29,190,860 14,595,430 7,297,715 21,893,146 10,946,573 32,839,720 16,419,860 8,209,930 4,104,965 12,314,896 6,157,448 3,078,724 1,539,362 769,681 2,309,044 1,154,522 577,261 1,731,784 865,892 432,946 216,473 649,420 324,710 162,355 487,066 243,533 730,600 365,300 182,650 91,325 273,976 136,988 68,494 34,247 102,742 51,371 154,114 77,057 231,172 115,586 57,793 173,380 86,690 43,345

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