λ
Prime Ledger

1,737,722

2 × 7 × 124123
Deficient Even Composite

1,737,722 has the prime decomposition 2 × 7 × 124123. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 124123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,978,976
Proper Divisor Sum 1,241,254
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1737691 ← → #1737733

Radix Representation

Decimal 1737722
Binary 110101000001111111010 (21 bits)
Octal 0o6501772
Hexadecimal 0x1A83FA

Divisor Catalog (8)

1 2 7 14 124,123 248,246 868,861 1,737,722

Collatz Trajectory (189 steps to reach 1)

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

1,737,722 868,861 2,606,584 1,303,292 651,646 325,823 977,470 488,735 1,466,206 733,103 2,199,310 1,099,655 3,298,966 1,649,483 4,948,450 2,474,225 7,422,676 3,711,338 1,855,669 5,567,008 2,783,504 1,391,752 695,876 347,938 173,969 521,908 260,954 130,477 391,432 195,716 97,858 48,929 146,788 73,394 36,697 110,092 55,046 27,523 82,570 41,285 123,856 61,928 30,964 15,482 7,741 23,224 11,612 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838

More profiles

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