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Atlas › Integer Profiles › Node 3,975,296

3,975,296

27 × 13 × 2389
Abundant Even Composite

3,975,296 factors as 2^7 × 13 × 2389. Its 32 positive divisors give a proper-divisor sum of 4,557,004, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 2389
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,532,300
Proper Divisor Sum 4,557,004
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3975289 ← → #3975341

Radix Representation

Decimal 3975296
Binary 1111001010100010000000 (22 bits)
Octal 0o17124200
Hexadecimal 0x3CA880

Divisor Catalog (32)

1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1,664 2,389 4,778 9,556 19,112 31,057 38,224 62,114 76,448 124,228 152,896 248,456 305,792 496,912 993,824 1,987,648 3,975,296

Collatz Trajectory (154 steps to reach 1)

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

3,975,296 1,987,648 993,824 496,912 248,456 124,228 62,114 31,057 93,172 46,586 23,293 69,880 34,940 17,470 8,735 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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