λ
Ratio Atlas

5,749,974

2 × 33 × 233 × 457
Abundant Even Composite

5,749,974 factors as 2 × 3^3 × 233 × 457. Its 32 positive divisors give a proper-divisor sum of 7,110,666, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 233 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,860,640
Proper Divisor Sum 7,110,666
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5749967 ← → #5749981

Radix Representation

Decimal 5749974
Binary 10101111011110011010110 (23 bits)
Octal 0o25736326
Hexadecimal 0x57BCD6

Divisor Catalog (32)

1 2 3 6 9 18 27 54 233 457 466 699 914 1,371 1,398 2,097 2,742 4,113 4,194 6,291 8,226 12,339 12,582 24,678 106,481 212,962 319,443 638,886 958,329 1,916,658 2,874,987 5,749,974

Collatz Trajectory (232 steps to reach 1)

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

5,749,974 2,874,987 8,624,962 4,312,481 12,937,444 6,468,722 3,234,361 9,703,084 4,851,542 2,425,771 7,277,314 3,638,657 10,915,972 5,457,986 2,728,993 8,186,980 4,093,490 2,046,745 6,140,236 3,070,118 1,535,059 4,605,178 2,302,589 6,907,768 3,453,884 1,726,942 863,471 2,590,414 1,295,207 3,885,622 1,942,811 5,828,434 2,914,217 8,742,652 4,371,326 2,185,663 6,556,990 3,278,495 9,835,486 4,917,743 14,753,230 7,376,615 22,129,846 11,064,923 33,194,770 16,597,385 49,792,156 24,896,078 12,448,039 37,344,118 18,672,059 56,016,178 28,008,089 84,024,268 42,012,134 21,006,067 63,018,202 31,509,101 94,527,304 47,263,652

More profiles

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