λ
Sigma Notebook

1,824,375

3 × 54 × 7 × 139
Deficient Odd Composite

1,824,375 is odd and not a perfect square. Its factorization is 3 × 5^4 × 7 × 139 and its 40 divisors sum to 3,498,880.

Prime Factor Structure

Factorization String 3 × 5^4 × 7 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,498,880
Proper Divisor Sum 1,674,505
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1824373 ← → #1824379

Radix Representation

Decimal 1824375
Binary 110111101011001110111 (21 bits)
Octal 0o6753167
Hexadecimal 0x1BD677

Divisor Catalog (40)

1 3 5 7 15 21 25 35 75 105 125 139 175 375 417 525 625 695 875 973 1,875 2,085 2,625 2,919 3,475 4,375 4,865 10,425 13,125 14,595 17,375 24,325 52,125 72,975 86,875 121,625 260,625 364,875 608,125 1,824,375

Collatz Trajectory (57 steps to reach 1)

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

1,824,375 5,473,126 2,736,563 8,209,690 4,104,845 12,314,536 6,157,268 3,078,634 1,539,317 4,617,952 2,308,976 1,154,488 577,244 288,622 144,311 432,934 216,467 649,402 324,701 974,104 487,052 243,526 121,763 365,290 182,645 547,936 273,968 136,984 68,492 34,246 17,123 51,370 25,685 77,056 38,528 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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