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Atlas › Integer Profiles › Node 7,036,645

7,036,645

5 × 73 × 11 × 373
Deficient Odd Composite

7,036,645 factors as 5 × 7^3 × 11 × 373. Its 32 positive divisors give a proper-divisor sum of 3,734,555, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 5 × 7^3 × 11 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,771,200
Proper Divisor Sum 3,734,555
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7036637 ← → #7036661

Radix Representation

Decimal 7036645
Binary 11010110101111011100101 (23 bits)
Octal 0o32657345
Hexadecimal 0x6B5EE5

Divisor Catalog (32)

1 5 7 11 35 49 55 77 245 343 373 385 539 1,715 1,865 2,611 2,695 3,773 4,103 13,055 18,277 18,865 20,515 28,721 91,385 127,939 143,605 201,047 639,695 1,005,235 1,407,329 7,036,645

Collatz Trajectory (103 steps to reach 1)

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

7,036,645 21,109,936 10,554,968 5,277,484 2,638,742 1,319,371 3,958,114 1,979,057 5,937,172 2,968,586 1,484,293 4,452,880 2,226,440 1,113,220 556,610 278,305 834,916 417,458 208,729 626,188 313,094 156,547 469,642 234,821 704,464 352,232 176,116 88,058 44,029 132,088 66,044 33,022 16,511 49,534 24,767 74,302 37,151 111,454 55,727 167,182 83,591 250,774 125,387 376,162 188,081 564,244 282,122 141,061 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439

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