4,029,940

2² × 5 × 201497

4,029,940 factors as 2^2 × 5 × 201497. Its 12 positive divisors give a proper-divisor sum of 4,432,976, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 201497

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,462,916

Proper Divisor Sum 4,432,976

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4029937 ← → #4029943

Radix Representation

Decimal	4029940
Binary	1111010111110111110100 (22 bits)
Octal	0o17276764
Hexadecimal	0x3D7DF4

Divisor Catalog (12)

1 2 4 5 10 20 201,497 402,994 805,988 1,007,485 2,014,970 4,029,940

Collatz Trajectory (172 steps to reach 1)

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

4,029,940 2,014,970 1,007,485 3,022,456 1,511,228 755,614 377,807 1,133,422 566,711 1,700,134 850,067 2,550,202 1,275,101 3,825,304 1,912,652 956,326 478,163 1,434,490 717,245 2,151,736 1,075,868 537,934 268,967 806,902 403,451 1,210,354 605,177 1,815,532 907,766 453,883 1,361,650 680,825 2,042,476 1,021,238 510,619 1,531,858 765,929 2,297,788 1,148,894 574,447 1,723,342 861,671 2,585,014 1,292,507 3,877,522 1,938,761 5,816,284 2,908,142 1,454,071 4,362,214 2,181,107 6,543,322 3,271,661 9,814,984 4,907,492 2,453,746 1,226,873 3,680,620 1,840,310 920,155

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,029,939 Browse Full Index Next Integer #4,029,941 →