λ
Sigma Notebook

6,955,431

3 × 7 × 17 × 19483
Deficient Odd Composite

6,955,431 is odd and not a perfect square. Its factorization is 3 × 7 × 17 × 19483 and its 16 divisors sum to 11,222,784.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 19483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,222,784
Proper Divisor Sum 4,267,353
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6955427 ← → #6955433

Radix Representation

Decimal 6955431
Binary 11010100010000110100111 (23 bits)
Octal 0o32420647
Hexadecimal 0x6A21A7

Divisor Catalog (16)

1 3 7 17 21 51 119 357 19,483 58,449 136,381 331,211 409,143 993,633 2,318,477 6,955,431

Collatz Trajectory (191 steps to reach 1)

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

6,955,431 20,866,294 10,433,147 31,299,442 15,649,721 46,949,164 23,474,582 11,737,291 35,211,874 17,605,937 52,817,812 26,408,906 13,204,453 39,613,360 19,806,680 9,903,340 4,951,670 2,475,835 7,427,506 3,713,753 11,141,260 5,570,630 2,785,315 8,355,946 4,177,973 12,533,920 6,266,960 3,133,480 1,566,740 783,370 391,685 1,175,056 587,528 293,764 146,882 73,441 220,324 110,162 55,081 165,244 82,622 41,311 123,934 61,967 185,902 92,951 278,854 139,427 418,282 209,141 627,424 313,712 156,856 78,428 39,214 19,607 58,822 29,411 88,234 44,117

More profiles

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