λ
Sequence Observatory

7,891,817

47 × 167911
Deficient Odd Composite

Starting at 7,891,817, the Collatz iteration reaches 1 after 186 steps. The first transition is 23675452; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 47 × 167911
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,059,776
Proper Divisor Sum 167,959
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7891813 ← → #7891847

Radix Representation

Decimal 7891817
Binary 11110000110101101101001 (23 bits)
Octal 0o36065551
Hexadecimal 0x786B69

Divisor Catalog (4)

1 47 167,911 7,891,817

Collatz Trajectory (186 steps to reach 1)

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

7,891,817 23,675,452 11,837,726 5,918,863 17,756,590 8,878,295 26,634,886 13,317,443 39,952,330 19,976,165 59,928,496 29,964,248 14,982,124 7,491,062 3,745,531 11,236,594 5,618,297 16,854,892 8,427,446 4,213,723 12,641,170 6,320,585 18,961,756 9,480,878 4,740,439 14,221,318 7,110,659 21,331,978 10,665,989 31,997,968 15,998,984 7,999,492 3,999,746 1,999,873 5,999,620 2,999,810 1,499,905 4,499,716 2,249,858 1,124,929 3,374,788 1,687,394 843,697 2,531,092 1,265,546 632,773 1,898,320 949,160 474,580 237,290 118,645 355,936 177,968 88,984 44,492 22,246 11,123 33,370 16,685 50,056

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