λ
Harmonic Matrix

696,906

2 × 32 × 7 × 5531
Abundant Even Composite

696,906 has digital root 9. The neighboring primes are 696893 and 696907; its proper-divisor sum differs from the starting integer by 332,172.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 5531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,725,984
Proper Divisor Sum 1,029,078
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #696893 ← → #696907

Radix Representation

Decimal 696906
Binary 10101010001001001010 (20 bits)
Octal 0o2521112
Hexadecimal 0xAA24A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 5,531 11,062 16,593 33,186 38,717 49,779 77,434 99,558 116,151 232,302 348,453 696,906

Collatz Trajectory (74 steps to reach 1)

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

696,906 348,453 1,045,360 522,680 261,340 130,670 65,335 196,006 98,003 294,010 147,005 441,016 220,508 110,254 55,127 165,382 82,691 248,074 124,037 372,112 186,056 93,028 46,514 23,257 69,772 34,886 17,443 52,330 26,165 78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

More profiles

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