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Atlas › Integer Profiles › Node 35,697,824

35,697,824

25 × 17 × 211 × 311
Abundant Even Composite

35,697,824 factors as 2^5 × 17 × 211 × 311. Its 48 positive divisors give a proper-divisor sum of 39,309,472, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 211 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 75,007,296
Proper Divisor Sum 39,309,472
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #35697799 ← → #35697889

Radix Representation

Decimal 35697824
Binary 10001000001011010010100000 (26 bits)
Octal 0o210132240
Hexadecimal 0x220B4A0

Divisor Catalog (48)

1 2 4 8 16 17 32 34 68 136 211 272 311 422 544 622 844 1,244 1,688 2,488 3,376 3,587 4,976 5,287 6,752 7,174 9,952 10,574 14,348 21,148 28,696 42,296 57,392 65,621 84,592 114,784 131,242 169,184 262,484 524,968 1,049,936 1,115,557 2,099,872 2,231,114 4,462,228 8,924,456 17,848,912 35,697,824

Collatz Trajectory (121 steps to reach 1)

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

35,697,824 17,848,912 8,924,456 4,462,228 2,231,114 1,115,557 3,346,672 1,673,336 836,668 418,334 209,167 627,502 313,751 941,254 470,627 1,411,882 705,941 2,117,824 1,058,912 529,456 264,728 132,364 66,182 33,091 99,274 49,637 148,912 74,456 37,228 18,614 9,307 27,922 13,961 41,884 20,942 10,471 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745

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