λ
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549,045

33 × 5 × 72 × 83
Abundant Odd Composite

549,045 factors as 3^3 × 5 × 7^2 × 83. Its 48 positive divisors give a proper-divisor sum of 600,075, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,149,120
Proper Divisor Sum 600,075
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #549037 ← → #549071

Radix Representation

Decimal 549045
Binary 10000110000010110101 (20 bits)
Octal 0o2060265
Hexadecimal 0x860B5

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 49 63 83 105 135 147 189 245 249 315 415 441 581 735 747 945 1,245 1,323 1,743 2,205 2,241 2,905 3,735 4,067 5,229 6,615 8,715 11,205 12,201 15,687 20,335 26,145 36,603 61,005 78,435 109,809 183,015 549,045

Collatz Trajectory (71 steps to reach 1)

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

549,045 1,647,136 823,568 411,784 205,892 102,946 51,473 154,420 77,210 38,605 115,816 57,908 28,954 14,477 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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