λ
Sequence Observatory
Atlas › Integer Profiles › Node 7,936,950

7,936,950

2 × 3 × 52 × 7 × 7559
Abundant Even Composite

Starting at 7,936,950, the Collatz iteration reaches 1 after 186 steps. The first transition is 3968475; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 7559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,498,560
Proper Divisor Sum 14,561,610
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7936949 ← → #7936963

Radix Representation

Decimal 7936950
Binary 11110010001101110110110 (23 bits)
Octal 0o36215666
Hexadecimal 0x791BB6

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 7,559 15,118 22,677 37,795 45,354 52,913 75,590 105,826 113,385 158,739 188,975 226,770 264,565 317,478 377,950 529,130 566,925 793,695 1,133,850 1,322,825 1,587,390 2,645,650 3,968,475 7,936,950

Collatz Trajectory (186 steps to reach 1)

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

7,936,950 3,968,475 11,905,426 5,952,713 17,858,140 8,929,070 4,464,535 13,393,606 6,696,803 20,090,410 10,045,205 30,135,616 15,067,808 7,533,904 3,766,952 1,883,476 941,738 470,869 1,412,608 706,304 353,152 176,576 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403

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