7,610,580

2² × 3² × 5 × 42281

7,610,580 has digital root 9. The neighboring primes are 7610573 and 7610599; its proper-divisor sum differs from the starting integer by 7,864,812.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 42281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 23,085,972

Proper Divisor Sum 15,475,392

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7610573 ← → #7610599

Radix Representation

Decimal	7610580
Binary	11101000010000011010100 (23 bits)
Octal	0o35020324
Hexadecimal	0x7420D4

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 42,281 84,562 126,843 169,124 211,405 253,686 380,529 422,810 507,372 634,215 761,058 845,620 1,268,430 1,522,116 1,902,645 2,536,860 3,805,290 7,610,580

Collatz Trajectory (129 steps to reach 1)

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

7,610,580 3,805,290 1,902,645 5,707,936 2,853,968 1,426,984 713,492 356,746 178,373 535,120 267,560 133,780 66,890 33,445 100,336 50,168 25,084 12,542 6,271 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048

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