λ
Harmonic Matrix

690,267

3 × 230089
Deficient Odd Composite

690,267 has digital root 3. The neighboring primes are 690259 and 690269; its proper-divisor sum differs from the starting integer by -460,174.

Prime Factor Structure

Factorization String 3 × 230089
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 920,360
Proper Divisor Sum 230,093
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #690259 ← → #690269

Radix Representation

Decimal 690267
Binary 10101000100001011011 (20 bits)
Octal 0o2504133
Hexadecimal 0xA885B

Divisor Catalog (4)

1 3 230,089 690,267

Collatz Trajectory (136 steps to reach 1)

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

690,267 2,070,802 1,035,401 3,106,204 1,553,102 776,551 2,329,654 1,164,827 3,494,482 1,747,241 5,241,724 2,620,862 1,310,431 3,931,294 1,965,647 5,896,942 2,948,471 8,845,414 4,422,707 13,268,122 6,634,061 19,902,184 9,951,092 4,975,546 2,487,773 7,463,320 3,731,660 1,865,830 932,915 2,798,746 1,399,373 4,198,120 2,099,060 1,049,530 524,765 1,574,296 787,148 393,574 196,787 590,362 295,181 885,544 442,772 221,386 110,693 332,080 166,040 83,020 41,510 20,755 62,266 31,133 93,400 46,700 23,350 11,675 35,026 17,513 52,540 26,270

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