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Atlas › Integer Profiles › Node 3,960,976

3,960,976

24 × 281 × 881
Deficient Even Composite

3,960,976 factors as 2^4 × 281 × 881. Its 20 positive divisors give a proper-divisor sum of 3,749,468, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 281 × 881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,710,444
Proper Divisor Sum 3,749,468
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3960967 ← → #3960977

Radix Representation

Decimal 3960976
Binary 1111000111000010010000 (22 bits)
Octal 0o17070220
Hexadecimal 0x3C7090

Divisor Catalog (20)

1 2 4 8 16 281 562 881 1,124 1,762 2,248 3,524 4,496 7,048 14,096 247,561 495,122 990,244 1,980,488 3,960,976

Collatz Trajectory (92 steps to reach 1)

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

3,960,976 1,980,488 990,244 495,122 247,561 742,684 371,342 185,671 557,014 278,507 835,522 417,761 1,253,284 626,642 313,321 939,964 469,982 234,991 704,974 352,487 1,057,462 528,731 1,586,194 793,097 2,379,292 1,189,646 594,823 1,784,470 892,235 2,676,706 1,338,353 4,015,060 2,007,530 1,003,765 3,011,296 1,505,648 752,824 376,412 188,206 94,103 282,310 141,155 423,466 211,733 635,200 317,600 158,800 79,400 39,700 19,850 9,925 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396 698

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