λ
Modular Archive
Atlas › Integer Profiles › Node 54,075

54,075

3 × 52 × 7 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 103,168
Proper Divisor Sum 49,093
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #54059 ← → #54083

Radix Representation

Decimal 54075
Binary 1101001100111011 (16 bits)
Octal 0o151473
Hexadecimal 0xD33B

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 103 105 175 309 515 525 721 1,545 2,163 2,575 3,605 7,725 10,815 18,025 54,075

Collatz Trajectory (65 steps to reach 1)

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

54,075 162,226 81,113 243,340 121,670 60,835 182,506 91,253 273,760 136,880 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #54,074 Browse Full Index Next Integer #54,076 →