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Atlas › Integer Profiles › Node 3,083,325

3,083,325

3 × 52 × 72 × 839
Deficient Odd Composite

3,083,325 factors as 3 × 5^2 × 7^2 × 839. Its 36 positive divisors give a proper-divisor sum of 2,853,795, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,937,120
Proper Divisor Sum 2,853,795
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3083303 ← → #3083329

Radix Representation

Decimal 3083325
Binary 1011110000110000111101 (22 bits)
Octal 0o13606075
Hexadecimal 0x2F0C3D

Divisor Catalog (36)

1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 839 1,225 2,517 3,675 4,195 5,873 12,585 17,619 20,975 29,365 41,111 62,925 88,095 123,333 146,825 205,555 440,475 616,665 1,027,775 3,083,325

Collatz Trajectory (151 steps to reach 1)

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

3,083,325 9,249,976 4,624,988 2,312,494 1,156,247 3,468,742 1,734,371 5,203,114 2,601,557 7,804,672 3,902,336 1,951,168 975,584 487,792 243,896 121,948 60,974 30,487 91,462 45,731 137,194 68,597 205,792 102,896 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91

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