λ
Sequence Observatory

4,854,115

5 × 7 × 331 × 419
Deficient Odd Composite

Starting at 4,854,115, the Collatz iteration reaches 1 after 268 steps. The first transition is 14562346; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 331 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,693,120
Proper Divisor Sum 1,839,005
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4854079 ← → #4854121

Radix Representation

Decimal 4854115
Binary 10010100001000101100011 (23 bits)
Octal 0o22410543
Hexadecimal 0x4A1163

Divisor Catalog (16)

1 5 7 35 331 419 1,655 2,095 2,317 2,933 11,585 14,665 138,689 693,445 970,823 4,854,115

Collatz Trajectory (268 steps to reach 1)

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

4,854,115 14,562,346 7,281,173 21,843,520 10,921,760 5,460,880 2,730,440 1,365,220 682,610 341,305 1,023,916 511,958 255,979 767,938 383,969 1,151,908 575,954 287,977 863,932 431,966 215,983 647,950 323,975 971,926 485,963 1,457,890 728,945 2,186,836 1,093,418 546,709 1,640,128 820,064 410,032 205,016 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402

More profiles

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