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Atlas › Integer Profiles › Node 4,075,036

4,075,036

22 × 72 × 17 × 1223
Abundant Even Composite

4,075,036 factors as 2^2 × 7^2 × 17 × 1223. Its 36 positive divisors give a proper-divisor sum of 4,715,732, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 17 × 1223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,790,768
Proper Divisor Sum 4,715,732
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4075021 ← → #4075039

Radix Representation

Decimal 4075036
Binary 1111100010111000011100 (22 bits)
Octal 0o17427034
Hexadecimal 0x3E2E1C

Divisor Catalog (36)

1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1,223 1,666 2,446 3,332 4,892 8,561 17,122 20,791 34,244 41,582 59,927 83,164 119,854 145,537 239,708 291,074 582,148 1,018,759 2,037,518 4,075,036

Collatz Trajectory (154 steps to reach 1)

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

4,075,036 2,037,518 1,018,759 3,056,278 1,528,139 4,584,418 2,292,209 6,876,628 3,438,314 1,719,157 5,157,472 2,578,736 1,289,368 644,684 322,342 161,171 483,514 241,757 725,272 362,636 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121

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