7,646,088

2³ × 3 × 31 × 43 × 239

7,646,088 has digital root 3. The neighboring primes are 7646083 and 7646099; its proper-divisor sum differs from the starting integer by 4,983,024.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 43 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 20,275,200

Proper Divisor Sum 12,629,112

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7646083 ← → #7646099

Radix Representation

Decimal	7646088
Binary	11101001010101110001000 (23 bits)
Octal	0o35125610
Hexadecimal	0x74AB88

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 186 239 248 258 344 372 478 516 717 744 956 1,032 1,333 1,434 1,912 2,666 2,868 3,999 5,332 5,736 7,409 7,998 10,277 10,664 14,818 15,996 20,554 22,227 29,636 30,831 31,992 41,108 44,454 59,272 61,662 82,216 88,908 123,324 177,816 246,648 318,587 637,174 955,761 1,274,348

Collatz Trajectory (80 steps to reach 1)

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

7,646,088 3,823,044 1,911,522 955,761 2,867,284 1,433,642 716,821 2,150,464 1,075,232 537,616 268,808 134,404 67,202 33,601 100,804 50,402 25,201 75,604 37,802 18,901 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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