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Atlas › Integer Profiles › Node 9,109,408

9,109,408

25 × 7 × 11 × 3697
Abundant Even Composite

9,109,408 factors as 2^5 × 7 × 11 × 3697. Its 48 positive divisors give a proper-divisor sum of 13,256,096, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 3697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,365,504
Proper Divisor Sum 13,256,096
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9109369 ← → #9109427

Radix Representation

Decimal 9109408
Binary 100010101111111110100000 (24 bits)
Octal 0o42577640
Hexadecimal 0x8AFFA0

Divisor Catalog (48)

1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1,232 2,464 3,697 7,394 14,788 25,879 29,576 40,667 51,758 59,152 81,334 103,516 118,304 162,668 207,032 284,669 325,336 414,064 569,338 650,672 828,128 1,138,676 1,301,344 2,277,352 4,554,704 9,109,408

Collatz Trajectory (132 steps to reach 1)

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

9,109,408 4,554,704 2,277,352 1,138,676 569,338 284,669 854,008 427,004 213,502 106,751 320,254 160,127 480,382 240,191 720,574 360,287 1,080,862 540,431 1,621,294 810,647 2,431,942 1,215,971 3,647,914 1,823,957 5,471,872 2,735,936 1,367,968 683,984 341,992 170,996 85,498 42,749 128,248 64,124 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781

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