4,761,720

2³ × 3³ × 5 × 4409

4,761,720 has digital root 9. The neighboring primes are 4761703 and 4761727; its proper-divisor sum differs from the starting integer by 6,352,560.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 4409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,876,000

Proper Divisor Sum 11,114,280

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4761703 ← → #4761727

Radix Representation

Decimal	4761720
Binary	10010001010100001111000 (23 bits)
Octal	0o22124170
Hexadecimal	0x48A878

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1,080 4,409 8,818 13,227 17,636 22,045 26,454 35,272 39,681 44,090 52,908 66,135 79,362 88,180 105,816 119,043 132,270 158,724 176,360 198,405 238,086 264,540 317,448 396,810 476,172 529,080 595,215 793,620 952,344

Collatz Trajectory (193 steps to reach 1)

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

4,761,720 2,380,860 1,190,430 595,215 1,785,646 892,823 2,678,470 1,339,235 4,017,706 2,008,853 6,026,560 3,013,280 1,506,640 753,320 376,660 188,330 94,165 282,496 141,248 70,624 35,312 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220

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