734,620

2² × 5 × 23 × 1597

734,620 has the prime decomposition 2^2 × 5 × 23 × 1597. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 1597

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,610,784

Proper Divisor Sum 876,164

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #734567 ← → #734627

Radix Representation

Decimal	734620
Binary	10110011010110011100 (20 bits)
Octal	0o2632634
Hexadecimal	0xB359C

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 1,597 3,194 6,388 7,985 15,970 31,940 36,731 73,462 146,924 183,655 367,310 734,620

Collatz Trajectory (180 steps to reach 1)

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

734,620 367,310 183,655 550,966 275,483 826,450 413,225 1,239,676 619,838 309,919 929,758 464,879 1,394,638 697,319 2,091,958 1,045,979 3,137,938 1,568,969 4,706,908 2,353,454 1,176,727 3,530,182 1,765,091 5,295,274 2,647,637 7,942,912 3,971,456 1,985,728 992,864 496,432 248,216 124,108 62,054 31,027 93,082 46,541 139,624 69,812 34,906 17,453 52,360 26,180 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778

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