λ
Prime Ledger

1,708,084

22 × 7 × 53 × 1151
Abundant Even Composite

1,708,084 has the prime decomposition 2^2 × 7 × 53 × 1151. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 53 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,483,648
Proper Divisor Sum 1,775,564
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1708079 ← → #1708087

Radix Representation

Decimal 1708084
Binary 110100001000000110100 (21 bits)
Octal 0o6410064
Hexadecimal 0x1A1034

Divisor Catalog (24)

1 2 4 7 14 28 53 106 212 371 742 1,151 1,484 2,302 4,604 8,057 16,114 32,228 61,003 122,006 244,012 427,021 854,042 1,708,084

Collatz Trajectory (75 steps to reach 1)

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

1,708,084 854,042 427,021 1,281,064 640,532 320,266 160,133 480,400 240,200 120,100 60,050 30,025 90,076 45,038 22,519 67,558 33,779 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808

More profiles

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