λ
Sequence Observatory

6,892,817

61 × 112997
Deficient Odd Composite

Starting at 6,892,817, the Collatz iteration reaches 1 after 178 steps. The first transition is 20678452; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 61 × 112997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,005,876
Proper Divisor Sum 113,059
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6892813 ← → #6892849

Radix Representation

Decimal 6892817
Binary 11010010010110100010001 (23 bits)
Octal 0o32226421
Hexadecimal 0x692D11

Divisor Catalog (4)

1 61 112,997 6,892,817

Collatz Trajectory (178 steps to reach 1)

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

6,892,817 20,678,452 10,339,226 5,169,613 15,508,840 7,754,420 3,877,210 1,938,605 5,815,816 2,907,908 1,453,954 726,977 2,180,932 1,090,466 545,233 1,635,700 817,850 408,925 1,226,776 613,388 306,694 153,347 460,042 230,021 690,064 345,032 172,516 86,258 43,129 129,388 64,694 32,347 97,042 48,521 145,564 72,782 36,391 109,174 54,587 163,762 81,881 245,644 122,822 61,411 184,234 92,117 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289

More profiles

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