λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,090,410

4,090,410

2 × 32 × 5 × 47 × 967
Abundant Even Composite

4,090,410 factors as 2 × 3^2 × 5 × 47 × 967. Its 48 positive divisors give a proper-divisor sum of 6,782,166, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 47 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,872,576
Proper Divisor Sum 6,782,166
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4090403 ← → #4090423

Radix Representation

Decimal 4090410
Binary 1111100110101000101010 (22 bits)
Octal 0o17465052
Hexadecimal 0x3E6A2A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 967 1,410 1,934 2,115 2,901 4,230 4,835 5,802 8,703 9,670 14,505 17,406 29,010 43,515 45,449 87,030 90,898 136,347 227,245 272,694 409,041 454,490 681,735 818,082 1,363,470 2,045,205 4,090,410

Collatz Trajectory (110 steps to reach 1)

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

4,090,410 2,045,205 6,135,616 3,067,808 1,533,904 766,952 383,476 191,738 95,869 287,608 143,804 71,902 35,951 107,854 53,927 161,782 80,891 242,674 121,337 364,012 182,006 91,003 273,010 136,505 409,516 204,758 102,379 307,138 153,569 460,708 230,354 115,177 345,532 172,766 86,383 259,150 129,575 388,726 194,363 583,090 291,545 874,636 437,318 218,659 655,978 327,989 983,968 491,984 245,992 122,996 61,498 30,749 92,248 46,124 23,062 11,531 34,594 17,297 51,892 25,946

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,090,409 Browse Full Index Next Integer #4,090,411 →