7,730,424

2³ × 3³ × 13 × 2753

7,730,424 has digital root 9. The neighboring primes are 7730423 and 7730431; its proper-divisor sum differs from the starting integer by 7,672,752.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 2753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 23,133,600

Proper Divisor Sum 15,403,176

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7730423 ← → #7730431

Radix Representation

Decimal	7730424
Binary	11101011111010011111000 (23 bits)
Octal	0o35372370
Hexadecimal	0x75F4F8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1,404 2,753 2,808 5,506 8,259 11,012 16,518 22,024 24,777 33,036 35,789 49,554 66,072 71,578 74,331 99,108 107,367 143,156 148,662 198,216 214,734 286,312 297,324 322,101 429,468 594,648 644,202 858,936 966,303 1,288,404

Collatz Trajectory (217 steps to reach 1)

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

7,730,424 3,865,212 1,932,606 966,303 2,898,910 1,449,455 4,348,366 2,174,183 6,522,550 3,261,275 9,783,826 4,891,913 14,675,740 7,337,870 3,668,935 11,006,806 5,503,403 16,510,210 8,255,105 24,765,316 12,382,658 6,191,329 18,573,988 9,286,994 4,643,497 13,930,492 6,965,246 3,482,623 10,447,870 5,223,935 15,671,806 7,835,903 23,507,710 11,753,855 35,261,566 17,630,783 52,892,350 26,446,175 79,338,526 39,669,263 119,007,790 59,503,895 178,511,686 89,255,843 267,767,530 133,883,765 401,651,296 200,825,648 100,412,824 50,206,412 25,103,206 12,551,603 37,654,810 18,827,405 56,482,216 28,241,108 14,120,554 7,060,277 21,180,832 10,590,416

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