λ
Prime Ledger

717,073

7 × 89 × 1151
Deficient Odd Composite

717,073 has the prime decomposition 7 × 89 × 1151. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 89 × 1151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 829,440
Proper Divisor Sum 112,367
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #717047 ← → #717089

Radix Representation

Decimal 717073
Binary 10101111000100010001 (20 bits)
Octal 0o2570421
Hexadecimal 0xAF111

Divisor Catalog (8)

1 7 89 623 1,151 8,057 102,439 717,073

Collatz Trajectory (74 steps to reach 1)

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

717,073 2,151,220 1,075,610 537,805 1,613,416 806,708 403,354 201,677 605,032 302,516 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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