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Atlas › Integer Profiles › Node 3,755,532

3,755,532

22 × 3 × 11 × 23 × 1237
Abundant Even Composite

3,755,532 factors as 2^2 × 3 × 11 × 23 × 1237. Its 48 positive divisors give a proper-divisor sum of 6,227,700, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 23 × 1237
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,983,232
Proper Divisor Sum 6,227,700
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3755513 ← → #3755539

Radix Representation

Decimal 3755532
Binary 1110010100111000001100 (22 bits)
Octal 0o16247014
Hexadecimal 0x394E0C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1,012 1,237 1,518 2,474 3,036 3,711 4,948 7,422 13,607 14,844 27,214 28,451 40,821 54,428 56,902 81,642 85,353 113,804 163,284 170,706 312,961 341,412 625,922 938,883 1,251,844 1,877,766 3,755,532

Collatz Trajectory (84 steps to reach 1)

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

3,755,532 1,877,766 938,883 2,816,650 1,408,325 4,224,976 2,112,488 1,056,244 528,122 264,061 792,184 396,092 198,046 99,023 297,070 148,535 445,606 222,803 668,410 334,205 1,002,616 501,308 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944 634,472 317,236 158,618 79,309 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662

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