λ
Sequence Observatory

2,351,097

32 × 7 × 67 × 557
Deficient Odd Composite

Starting at 2,351,097, the Collatz iteration reaches 1 after 130 steps. The first transition is 7053292; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 67 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,946,176
Proper Divisor Sum 1,595,079
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2351053 ← → #2351099

Radix Representation

Decimal 2351097
Binary 1000111101111111111001 (22 bits)
Octal 0o10757771
Hexadecimal 0x23DFF9

Divisor Catalog (24)

1 3 7 9 21 63 67 201 469 557 603 1,407 1,671 3,899 4,221 5,013 11,697 35,091 37,319 111,957 261,233 335,871 783,699 2,351,097

Collatz Trajectory (130 steps to reach 1)

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

2,351,097 7,053,292 3,526,646 1,763,323 5,289,970 2,644,985 7,934,956 3,967,478 1,983,739 5,951,218 2,975,609 8,926,828 4,463,414 2,231,707 6,695,122 3,347,561 10,042,684 5,021,342 2,510,671 7,532,014 3,766,007 11,298,022 5,649,011 16,947,034 8,473,517 25,420,552 12,710,276 6,355,138 3,177,569 9,532,708 4,766,354 2,383,177 7,149,532 3,574,766 1,787,383 5,362,150 2,681,075 8,043,226 4,021,613 12,064,840 6,032,420 3,016,210 1,508,105 4,524,316 2,262,158 1,131,079 3,393,238 1,696,619 5,089,858 2,544,929 7,634,788 3,817,394 1,908,697 5,726,092 2,863,046 1,431,523 4,294,570 2,147,285 6,441,856 3,220,928

More profiles

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