7,731,080

2³ × 5 × 7 × 27611

7,731,080 has digital root 8. The neighboring primes are 7731067 and 7731089; its proper-divisor sum differs from the starting integer by 4,418,480.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 27611

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,880,640

Proper Divisor Sum 12,149,560

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7731067 ← → #7731089

Radix Representation

Decimal	7731080
Binary	11101011111011110001000 (23 bits)
Octal	0o35373610
Hexadecimal	0x75F788

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 27,611 55,222 110,444 138,055 193,277 220,888 276,110 386,554 552,220 773,108 966,385 1,104,440 1,546,216 1,932,770 3,865,540 7,731,080

Collatz Trajectory (124 steps to reach 1)

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

7,731,080 3,865,540 1,932,770 966,385 2,899,156 1,449,578 724,789 2,174,368 1,087,184 543,592 271,796 135,898 67,949 203,848 101,924 50,962 25,481 76,444 38,222 19,111 57,334 28,667 86,002 43,001 129,004 64,502 32,251 96,754 48,377 145,132 72,566 36,283 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688 91,844 45,922 22,961 68,884 34,442 17,221 51,664 25,832 12,916 6,458 3,229 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363

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