λ
Prime Ledger

1,753,804

22 × 13 × 29 × 1163
Deficient Even Composite

1,753,804 has the prime decomposition 2^2 × 13 × 29 × 1163. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,422,160
Proper Divisor Sum 1,668,356
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1753799 ← → #1753831

Radix Representation

Decimal 1753804
Binary 110101100001011001100 (21 bits)
Octal 0o6541314
Hexadecimal 0x1AC2CC

Divisor Catalog (24)

1 2 4 13 26 29 52 58 116 377 754 1,163 1,508 2,326 4,652 15,119 30,238 33,727 60,476 67,454 134,908 438,451 876,902 1,753,804

Collatz Trajectory (83 steps to reach 1)

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

1,753,804 876,902 438,451 1,315,354 657,677 1,973,032 986,516 493,258 246,629 739,888 369,944 184,972 92,486 46,243 138,730 69,365 208,096 104,048 52,024 26,012 13,006 6,503 19,510 9,755 29,266 14,633 43,900 21,950 10,975 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856

More profiles

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