λ
Prime Ledger

697,750

2 × 53 × 2791
Deficient Even Composite

697,750 has the prime decomposition 2 × 5^3 × 2791. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 2791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,306,656
Proper Divisor Sum 608,906
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #697733 ← → #697757

Radix Representation

Decimal 697750
Binary 10101010010110010110 (20 bits)
Octal 0o2522626
Hexadecimal 0xAA596

Divisor Catalog (16)

1 2 5 10 25 50 125 250 2,791 5,582 13,955 27,910 69,775 139,550 348,875 697,750

Collatz Trajectory (167 steps to reach 1)

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

697,750 348,875 1,046,626 523,313 1,569,940 784,970 392,485 1,177,456 588,728 294,364 147,182 73,591 220,774 110,387 331,162 165,581 496,744 248,372 124,186 62,093 186,280 93,140 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125

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