λ
Sequence Observatory

9,720,067

7 × 739 × 1879
Deficient Odd Composite

Starting at 9,720,067, the Collatz iteration reaches 1 after 114 steps. The first transition is 29160202; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 739 × 1879
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,129,600
Proper Divisor Sum 1,409,533
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9720043 ← → #9720083

Radix Representation

Decimal 9720067
Binary 100101000101000100000011 (24 bits)
Octal 0o45050403
Hexadecimal 0x945103

Divisor Catalog (8)

1 7 739 1,879 5,173 13,153 1,388,581 9,720,067

Collatz Trajectory (114 steps to reach 1)

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

9,720,067 29,160,202 14,580,101 43,740,304 21,870,152 10,935,076 5,467,538 2,733,769 8,201,308 4,100,654 2,050,327 6,150,982 3,075,491 9,226,474 4,613,237 13,839,712 6,919,856 3,459,928 1,729,964 864,982 432,491 1,297,474 648,737 1,946,212 973,106 486,553 1,459,660 729,830 364,915 1,094,746 547,373 1,642,120 821,060 410,530 205,265 615,796 307,898 153,949 461,848 230,924 115,462 57,731 173,194 86,597 259,792 129,896 64,948 32,474 16,237 48,712 24,356 12,178 6,089 18,268 9,134 4,567 13,702 6,851 20,554 10,277

More profiles

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