4,008,064

2⁷ × 173 × 181

4,008,064 is even and not a perfect square. Its factorization is 2^7 × 173 × 181 and its 32 divisors sum to 8,075,340.

Prime Factor Structure

Factorization String 2^7 × 173 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,075,340

Proper Divisor Sum 4,067,276

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4008029 ← → #4008077

Radix Representation

Decimal	4008064
Binary	1111010010100010000000 (22 bits)
Octal	0o17224200
Hexadecimal	0x3D2880

Divisor Catalog (32)

1 2 4 8 16 32 64 128 173 181 346 362 692 724 1,384 1,448 2,768 2,896 5,536 5,792 11,072 11,584 22,144 23,168 31,313 62,626 125,252 250,504 501,008 1,002,016 2,004,032 4,008,064

Collatz Trajectory (92 steps to reach 1)

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

4,008,064 2,004,032 1,002,016 501,008 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118

← Previous Integer #4,008,063 Browse Full Index Next Integer #4,008,065 →