λ
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Atlas › Integer Profiles › Node 5,763,675

5,763,675

3 × 52 × 31 × 37 × 67
Deficient Odd Composite

5,763,675 factors as 3 × 5^2 × 31 × 37 × 67. Its 48 positive divisors give a proper-divisor sum of 4,489,637, so this integer is deficient. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 37 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,253,312
Proper Divisor Sum 4,489,637
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5763673 ← → #5763679

Radix Representation

Decimal 5763675
Binary 10101111111001001011011 (23 bits)
Octal 0o25771133
Hexadecimal 0x57F25B

Divisor Catalog (48)

1 3 5 15 25 31 37 67 75 93 111 155 185 201 335 465 555 775 925 1,005 1,147 1,675 2,077 2,325 2,479 2,775 3,441 5,025 5,735 6,231 7,437 10,385 12,395 17,205 28,675 31,155 37,185 51,925 61,975 76,849 86,025 155,775 185,925 230,547 384,245 1,152,735 1,921,225 5,763,675

Collatz Trajectory (232 steps to reach 1)

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

5,763,675 17,291,026 8,645,513 25,936,540 12,968,270 6,484,135 19,452,406 9,726,203 29,178,610 14,589,305 43,767,916 21,883,958 10,941,979 32,825,938 16,412,969 49,238,908 24,619,454 12,309,727 36,929,182 18,464,591 55,393,774 27,696,887 83,090,662 41,545,331 124,635,994 62,317,997 186,953,992 93,476,996 46,738,498 23,369,249 70,107,748 35,053,874 17,526,937 52,580,812 26,290,406 13,145,203 39,435,610 19,717,805 59,153,416 29,576,708 14,788,354 7,394,177 22,182,532 11,091,266 5,545,633 16,636,900 8,318,450 4,159,225 12,477,676 6,238,838 3,119,419 9,358,258 4,679,129 14,037,388 7,018,694 3,509,347 10,528,042 5,264,021 15,792,064 7,896,032

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