λ
Sequence Observatory

7,689,917

7689917
Deficient Odd Prime

Starting at 7,689,917, the Collatz iteration reaches 1 after 72 steps. The first transition is 23069752; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7689917
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,689,918
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7689911 ← → #7689923

Radix Representation

Decimal 7689917
Binary 11101010101011010111101 (23 bits)
Octal 0o35253275
Hexadecimal 0x7556BD

Divisor Catalog (2)

Collatz Trajectory (72 steps to reach 1)

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

7,689,917 23,069,752 11,534,876 5,767,438 2,883,719 8,651,158 4,325,579 12,976,738 6,488,369 19,465,108 9,732,554 4,866,277 14,598,832 7,299,416 3,649,708 1,824,854 912,427 2,737,282 1,368,641 4,105,924 2,052,962 1,026,481 3,079,444 1,539,722 769,861 2,309,584 1,154,792 577,396 288,698 144,349 433,048 216,524 108,262 54,131 162,394 81,197 243,592 121,796 60,898 30,449 91,348 45,674 22,837 68,512 34,256 17,128 8,564 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226

More profiles

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