λ
Prime Ledger

699,687

32 × 77743
Deficient Odd Composite

699,687 has the prime decomposition 3^2 × 77743. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 77743
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,010,672
Proper Divisor Sum 310,985
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #699649 ← → #699697

Radix Representation

Decimal 699687
Binary 10101010110100100111 (20 bits)
Octal 0o2526447
Hexadecimal 0xAAD27

Divisor Catalog (6)

1 3 9 77,743 233,229 699,687

Collatz Trajectory (61 steps to reach 1)

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

699,687 2,099,062 1,049,531 3,148,594 1,574,297 4,722,892 2,361,446 1,180,723 3,542,170 1,771,085 5,313,256 2,656,628 1,328,314 664,157 1,992,472 996,236 498,118 249,059 747,178 373,589 1,120,768 560,384 280,192 140,096 70,048 35,024 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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