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Atlas › Integer Profiles › Node 6,164,792

6,164,792

23 × 37 × 59 × 353
Deficient Even Composite

6,164,792 factors as 2^3 × 37 × 59 × 353. Its 32 positive divisors give a proper-divisor sum of 5,942,008, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 59 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,106,800
Proper Divisor Sum 5,942,008
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6164783 ← → #6164803

Radix Representation

Decimal 6164792
Binary 10111100001000100111000 (23 bits)
Octal 0o27410470
Hexadecimal 0x5E1138

Divisor Catalog (32)

1 2 4 8 37 59 74 118 148 236 296 353 472 706 1,412 2,183 2,824 4,366 8,732 13,061 17,464 20,827 26,122 41,654 52,244 83,308 104,488 166,616 770,599 1,541,198 3,082,396 6,164,792

Collatz Trajectory (103 steps to reach 1)

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

6,164,792 3,082,396 1,541,198 770,599 2,311,798 1,155,899 3,467,698 1,733,849 5,201,548 2,600,774 1,300,387 3,901,162 1,950,581 5,851,744 2,925,872 1,462,936 731,468 365,734 182,867 548,602 274,301 822,904 411,452 205,726 102,863 308,590 154,295 462,886 231,443 694,330 347,165 1,041,496 520,748 260,374 130,187 390,562 195,281 585,844 292,922 146,461 439,384 219,692 109,846 54,923 164,770 82,385 247,156 123,578 61,789 185,368 92,684 46,342 23,171 69,514 34,757 104,272 52,136 26,068 13,034 6,517

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