λ
Prime Ledger

1,697,507

75 × 101
Deficient Odd Composite

1,697,507 has the prime decomposition 7^5 × 101. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7^5 × 101
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,000,016
Proper Divisor Sum 302,509
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1697503 ← → #1697519

Radix Representation

Decimal 1697507
Binary 110011110011011100011 (21 bits)
Octal 0o6363343
Hexadecimal 0x19E6E3

Divisor Catalog (12)

1 7 49 101 343 707 2,401 4,949 16,807 34,643 242,501 1,697,507

Collatz Trajectory (127 steps to reach 1)

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

1,697,507 5,092,522 2,546,261 7,638,784 3,819,392 1,909,696 954,848 477,424 238,712 119,356 59,678 29,839 89,518 44,759 134,278 67,139 201,418 100,709 302,128 151,064 75,532 37,766 18,883 56,650 28,325 84,976 42,488 21,244 10,622 5,311 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772

More profiles

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