748,470

2 × 3 × 5 × 61 × 409

For 748,470, the 32 positive divisors have a total of 1,830,240. Removing 748,470 leaves 1,081,770, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 61 × 409

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,830,240

Proper Divisor Sum 1,081,770

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #748463 ← → #748471

Radix Representation

Decimal	748470
Binary	10110110101110110110 (20 bits)
Octal	0o2665666
Hexadecimal	0xB6BB6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 61 122 183 305 366 409 610 818 915 1,227 1,830 2,045 2,454 4,090 6,135 12,270 24,949 49,898 74,847 124,745 149,694 249,490 374,235 748,470

Collatz Trajectory (87 steps to reach 1)

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

748,470 374,235 1,122,706 561,353 1,684,060 842,030 421,015 1,263,046 631,523 1,894,570 947,285 2,841,856 1,420,928 710,464 355,232 177,616 88,808 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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