λ
Sequence Observatory

7,819,231

7 × 1117033
Deficient Odd Composite

Starting at 7,819,231, the Collatz iteration reaches 1 after 217 steps. The first transition is 23457694; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1117033
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,936,272
Proper Divisor Sum 1,117,041
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7819219 ← → #7819237

Radix Representation

Decimal 7819231
Binary 11101110100111111011111 (23 bits)
Octal 0o35647737
Hexadecimal 0x774FDF

Divisor Catalog (4)

1 7 1,117,033 7,819,231

Collatz Trajectory (217 steps to reach 1)

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

7,819,231 23,457,694 11,728,847 35,186,542 17,593,271 52,779,814 26,389,907 79,169,722 39,584,861 118,754,584 59,377,292 29,688,646 14,844,323 44,532,970 22,266,485 66,799,456 33,399,728 16,699,864 8,349,932 4,174,966 2,087,483 6,262,450 3,131,225 9,393,676 4,696,838 2,348,419 7,045,258 3,522,629 10,567,888 5,283,944 2,641,972 1,320,986 660,493 1,981,480 990,740 495,370 247,685 743,056 371,528 185,764 92,882 46,441 139,324 69,662 34,831 104,494 52,247 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266

More profiles

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