λ
Sigma Notebook

7,834,697

13 × 23 × 26203
Deficient Odd Composite

7,834,697 is odd and not a perfect square. Its factorization is 13 × 23 × 26203 and its 8 divisors sum to 8,804,544.

Prime Factor Structure

Factorization String 13 × 23 × 26203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,804,544
Proper Divisor Sum 969,847
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7834679 ← → #7834699

Radix Representation

Decimal 7834697
Binary 11101111000110001001001 (23 bits)
Octal 0o35706111
Hexadecimal 0x778C49

Divisor Catalog (8)

1 13 23 299 26,203 340,639 602,669 7,834,697

Collatz Trajectory (93 steps to reach 1)

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

7,834,697 23,504,092 11,752,046 5,876,023 17,628,070 8,814,035 26,442,106 13,221,053 39,663,160 19,831,580 9,915,790 4,957,895 14,873,686 7,436,843 22,310,530 11,155,265 33,465,796 16,732,898 8,366,449 25,099,348 12,549,674 6,274,837 18,824,512 9,412,256 4,706,128 2,353,064 1,176,532 588,266 294,133 882,400 441,200 220,600 110,300 55,150 27,575 82,726 41,363 124,090 62,045 186,136 93,068 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384

More profiles

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