λ
Prime Ledger

5,270,575

52 × 210823
Deficient Odd Composite

5,270,575 has the prime decomposition 5^2 × 210823. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 210823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,535,544
Proper Divisor Sum 1,264,969
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5270567 ← → #5270579

Radix Representation

Decimal 5270575
Binary 10100000110110000101111 (23 bits)
Octal 0o24066057
Hexadecimal 0x506C2F

Divisor Catalog (6)

1 5 25 210,823 1,054,115 5,270,575

Collatz Trajectory (188 steps to reach 1)

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

5,270,575 15,811,726 7,905,863 23,717,590 11,858,795 35,576,386 17,788,193 53,364,580 26,682,290 13,341,145 40,023,436 20,011,718 10,005,859 30,017,578 15,008,789 45,026,368 22,513,184 11,256,592 5,628,296 2,814,148 1,407,074 703,537 2,110,612 1,055,306 527,653 1,582,960 791,480 395,740 197,870 98,935 296,806 148,403 445,210 222,605 667,816 333,908 166,954 83,477 250,432 125,216 62,608 31,304 15,652 7,826 3,913 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929

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