λ
Sequence Observatory

8,418,891

3 × 13 × 53 × 4073
Deficient Odd Composite

Starting at 8,418,891, the Collatz iteration reaches 1 after 168 steps. The first transition is 25256674; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 53 × 4073
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,319,776
Proper Divisor Sum 3,900,885
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8418863 ← → #8418901

Radix Representation

Decimal 8418891
Binary 100000000111011001001011 (24 bits)
Octal 0o40073113
Hexadecimal 0x80764B

Divisor Catalog (16)

1 3 13 39 53 159 689 2,067 4,073 12,219 52,949 158,847 215,869 647,607 2,806,297 8,418,891

Collatz Trajectory (168 steps to reach 1)

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

8,418,891 25,256,674 12,628,337 37,885,012 18,942,506 9,471,253 28,413,760 14,206,880 7,103,440 3,551,720 1,775,860 887,930 443,965 1,331,896 665,948 332,974 166,487 499,462 249,731 749,194 374,597 1,123,792 561,896 280,948 140,474 70,237 210,712 105,356 52,678 26,339 79,018 39,509 118,528 59,264 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

More profiles

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