λ
Sequence Observatory

6,195,957

3 × 19 × 71 × 1531
Deficient Odd Composite

Starting at 6,195,957, the Collatz iteration reaches 1 after 258 steps. The first transition is 18587872; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 71 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,824,320
Proper Divisor Sum 2,628,363
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6195923 ← → #6195971

Radix Representation

Decimal 6195957
Binary 10111101000101011110101 (23 bits)
Octal 0o27505365
Hexadecimal 0x5E8AF5

Divisor Catalog (16)

1 3 19 57 71 213 1,349 1,531 4,047 4,593 29,089 87,267 108,701 326,103 2,065,319 6,195,957

Collatz Trajectory (258 steps to reach 1)

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

6,195,957 18,587,872 9,293,936 4,646,968 2,323,484 1,161,742 580,871 1,742,614 871,307 2,613,922 1,306,961 3,920,884 1,960,442 980,221 2,940,664 1,470,332 735,166 367,583 1,102,750 551,375 1,654,126 827,063 2,481,190 1,240,595 3,721,786 1,860,893 5,582,680 2,791,340 1,395,670 697,835 2,093,506 1,046,753 3,140,260 1,570,130 785,065 2,355,196 1,177,598 588,799 1,766,398 883,199 2,649,598 1,324,799 3,974,398 1,987,199 5,961,598 2,980,799 8,942,398 4,471,199 13,413,598 6,706,799 20,120,398 10,060,199 30,180,598 15,090,299 45,270,898 22,635,449 67,906,348 33,953,174 16,976,587 50,929,762

More profiles

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