λ
Harmonic Matrix

707,628

22 × 3 × 109 × 541
Abundant Even Composite

707,628 has digital root 3. The neighboring primes are 707627 and 707633; its proper-divisor sum differs from the starting integer by 254,104.

Prime Factor Structure

Factorization String 2^2 × 3 × 109 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,669,360
Proper Divisor Sum 961,732
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #707627 ← → #707633

Radix Representation

Decimal 707628
Binary 10101100110000101100 (20 bits)
Octal 0o2546054
Hexadecimal 0xACC2C

Divisor Catalog (24)

1 2 3 4 6 12 109 218 327 436 541 654 1,082 1,308 1,623 2,164 3,246 6,492 58,969 117,938 176,907 235,876 353,814 707,628

Collatz Trajectory (211 steps to reach 1)

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

707,628 353,814 176,907 530,722 265,361 796,084 398,042 199,021 597,064 298,532 149,266 74,633 223,900 111,950 55,975 167,926 83,963 251,890 125,945 377,836 188,918 94,459 283,378 141,689 425,068 212,534 106,267 318,802 159,401 478,204 239,102 119,551 358,654 179,327 537,982 268,991 806,974 403,487 1,210,462 605,231 1,815,694 907,847 2,723,542 1,361,771 4,085,314 2,042,657 6,127,972 3,063,986 1,531,993 4,595,980 2,297,990 1,148,995 3,446,986 1,723,493 5,170,480 2,585,240 1,292,620 646,310 323,155 969,466

More profiles

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