λ
Sequence Observatory

1,957,631

13 × 150587
Deficient Odd Composite

Starting at 1,957,631, the Collatz iteration reaches 1 after 202 steps. The first transition is 5872894; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 150587
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,108,232
Proper Divisor Sum 150,601
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1957621 ← → #1957639

Radix Representation

Decimal 1957631
Binary 111011101111011111111 (21 bits)
Octal 0o7357377
Hexadecimal 0x1DDEFF

Divisor Catalog (4)

1 13 150,587 1,957,631

Collatz Trajectory (202 steps to reach 1)

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

1,957,631 5,872,894 2,936,447 8,809,342 4,404,671 13,214,014 6,607,007 19,821,022 9,910,511 29,731,534 14,865,767 44,597,302 22,298,651 66,895,954 33,447,977 100,343,932 50,171,966 25,085,983 75,257,950 37,628,975 112,886,926 56,443,463 169,330,390 84,665,195 253,995,586 126,997,793 380,993,380 190,496,690 95,248,345 285,745,036 142,872,518 71,436,259 214,308,778 107,154,389 321,463,168 160,731,584 80,365,792 40,182,896 20,091,448 10,045,724 5,022,862 2,511,431 7,534,294 3,767,147 11,301,442 5,650,721 16,952,164 8,476,082 4,238,041 12,714,124 6,357,062 3,178,531 9,535,594 4,767,797 14,303,392 7,151,696 3,575,848 1,787,924 893,962 446,981

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