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Atlas › Integer Profiles › Node 7,642,017

7,642,017

32 × 37 × 53 × 433
Deficient Odd Composite

7,642,017 factors as 3^2 × 37 × 53 × 433. Its 24 positive divisors give a proper-divisor sum of 3,935,367, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 53 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,577,384
Proper Divisor Sum 3,935,367
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7642013 ← → #7642039

Radix Representation

Decimal 7642017
Binary 11101001001101110100001 (23 bits)
Octal 0o35115641
Hexadecimal 0x749BA1

Divisor Catalog (24)

1 3 9 37 53 111 159 333 433 477 1,299 1,961 3,897 5,883 16,021 17,649 22,949 48,063 68,847 144,189 206,541 849,113 2,547,339 7,642,017

Collatz Trajectory (173 steps to reach 1)

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

7,642,017 22,926,052 11,463,026 5,731,513 17,194,540 8,597,270 4,298,635 12,895,906 6,447,953 19,343,860 9,671,930 4,835,965 14,507,896 7,253,948 3,626,974 1,813,487 5,440,462 2,720,231 8,160,694 4,080,347 12,241,042 6,120,521 18,361,564 9,180,782 4,590,391 13,771,174 6,885,587 20,656,762 10,328,381 30,985,144 15,492,572 7,746,286 3,873,143 11,619,430 5,809,715 17,429,146 8,714,573 26,143,720 13,071,860 6,535,930 3,267,965 9,803,896 4,901,948 2,450,974 1,225,487 3,676,462 1,838,231 5,514,694 2,757,347 8,272,042 4,136,021 12,408,064 6,204,032 3,102,016 1,551,008 775,504 387,752 193,876 96,938 48,469

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