λ
Sequence Observatory

690,808

23 × 86351
Deficient Even Composite

Starting at 690,808, the Collatz iteration reaches 1 after 198 steps. The first transition is 345404; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 86351
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,295,280
Proper Divisor Sum 604,472
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #690793 ← → #690817

Radix Representation

Decimal 690808
Binary 10101000101001111000 (20 bits)
Octal 0o2505170
Hexadecimal 0xA8A78

Divisor Catalog (8)

1 2 4 8 86,351 172,702 345,404 690,808

Collatz Trajectory (198 steps to reach 1)

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

690,808 345,404 172,702 86,351 259,054 129,527 388,582 194,291 582,874 291,437 874,312 437,156 218,578 109,289 327,868 163,934 81,967 245,902 122,951 368,854 184,427 553,282 276,641 829,924 414,962 207,481 622,444 311,222 155,611 466,834 233,417 700,252 350,126 175,063 525,190 262,595 787,786 393,893 1,181,680 590,840 295,420 147,710 73,855 221,566 110,783 332,350 166,175 498,526 249,263 747,790 373,895 1,121,686 560,843 1,682,530 841,265 2,523,796 1,261,898 630,949 1,892,848 946,424

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