λ
Sequence Observatory

750,553

750553
Deficient Odd Prime

Starting at 750,553, the Collatz iteration reaches 1 after 136 steps. The first transition is 2251660; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 750553
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 750,554
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #750521 ← → #750571

Radix Representation

Decimal 750553
Binary 10110111001111011001 (20 bits)
Octal 0o2671731
Hexadecimal 0xB73D9

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

750,553 2,251,660 1,125,830 562,915 1,688,746 844,373 2,533,120 1,266,560 633,280 316,640 158,320 79,160 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769

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