λ
Sequence Observatory

1,976,431

1976431
Deficient Odd Prime

Starting at 1,976,431, the Collatz iteration reaches 1 after 197 steps. The first transition is 5929294; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1976431
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,976,432
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1976419 ← → #1976453

Radix Representation

Decimal 1976431
Binary 111100010100001101111 (21 bits)
Octal 0o7424157
Hexadecimal 0x1E286F

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

1,976,431 5,929,294 2,964,647 8,893,942 4,446,971 13,340,914 6,670,457 20,011,372 10,005,686 5,002,843 15,008,530 7,504,265 22,512,796 11,256,398 5,628,199 16,884,598 8,442,299 25,326,898 12,663,449 37,990,348 18,995,174 9,497,587 28,492,762 14,246,381 42,739,144 21,369,572 10,684,786 5,342,393 16,027,180 8,013,590 4,006,795 12,020,386 6,010,193 18,030,580 9,015,290 4,507,645 13,522,936 6,761,468 3,380,734 1,690,367 5,071,102 2,535,551 7,606,654 3,803,327 11,409,982 5,704,991 17,114,974 8,557,487 25,672,462 12,836,231 38,508,694 19,254,347 57,763,042 28,881,521 86,644,564 43,322,282 21,661,141 64,983,424 32,491,712 16,245,856

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