λ
Harmonic Matrix

696,756

22 × 3 × 31 × 1873
Abundant Even Composite

696,756 has digital root 3. The neighboring primes are 696743 and 696757; its proper-divisor sum differs from the starting integer by 285,592.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 1873
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,679,104
Proper Divisor Sum 982,348
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #696743 ← → #696757

Radix Representation

Decimal 696756
Binary 10101010000110110100 (20 bits)
Octal 0o2520664
Hexadecimal 0xAA1B4

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 1,873 3,746 5,619 7,492 11,238 22,476 58,063 116,126 174,189 232,252 348,378 696,756

Collatz Trajectory (74 steps to reach 1)

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

696,756 348,378 174,189 522,568 261,284 130,642 65,321 195,964 97,982 48,991 146,974 73,487 220,462 110,231 330,694 165,347 496,042 248,021 744,064 372,032 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

More profiles

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