λ
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Atlas › Integer Profiles › Node 41,009,696

41,009,696

25 × 7 × 13 × 14083
Abundant Even Composite

41,009,696 factors as 2^5 × 7 × 13 × 14083. Its 48 positive divisors give a proper-divisor sum of 58,367,008, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 14083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,376,704
Proper Divisor Sum 58,367,008
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #41009677 ← → #41009699

Radix Representation

Decimal 41009696
Binary 10011100011100001000100000 (26 bits)
Octal 0o234341040
Hexadecimal 0x271C220

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,456 2,912 14,083 28,166 56,332 98,581 112,664 183,079 197,162 225,328 366,158 394,324 450,656 732,316 788,648 1,281,553 1,464,632 1,577,296 2,563,106 2,929,264 3,154,592 5,126,212 5,858,528 10,252,424 20,504,848 41,009,696

Collatz Trajectory (222 steps to reach 1)

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

41,009,696 20,504,848 10,252,424 5,126,212 2,563,106 1,281,553 3,844,660 1,922,330 961,165 2,883,496 1,441,748 720,874 360,437 1,081,312 540,656 270,328 135,164 67,582 33,791 101,374 50,687 152,062 76,031 228,094 114,047 342,142 171,071 513,214 256,607 769,822 384,911 1,154,734 577,367 1,732,102 866,051 2,598,154 1,299,077 3,897,232 1,948,616 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519 616,558 308,279 924,838 462,419 1,387,258 693,629 2,080,888 1,040,444 520,222 260,111

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