7,735,896

2³ × 3² × 7 × 15349

7,735,896 has digital root 9. The neighboring primes are 7735891 and 7735909; its proper-divisor sum differs from the starting integer by 8,474,208.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 15349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,946,000

Proper Divisor Sum 16,210,104

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7735891 ← → #7735909

Radix Representation

Decimal	7735896
Binary	11101100000101001011000 (23 bits)
Octal	0o35405130
Hexadecimal	0x760A58

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 15,349 30,698 46,047 61,396 92,094 107,443 122,792 138,141 184,188 214,886 276,282 322,329 368,376 429,772 552,564 644,658 859,544 966,987 1,105,128 1,289,316 1,933,974 2,578,632 3,867,948 7,735,896

Collatz Trajectory (98 steps to reach 1)

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

7,735,896 3,867,948 1,933,974 966,987 2,900,962 1,450,481 4,351,444 2,175,722 1,087,861 3,263,584 1,631,792 815,896 407,948 203,974 101,987 305,962 152,981 458,944 229,472 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366

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