λ
Sequence Observatory

4,852,628

22 × 11 × 29 × 3803
Deficient Even Composite

Starting at 4,852,628, the Collatz iteration reaches 1 after 237 steps. The first transition is 2426314; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 29 × 3803
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,586,080
Proper Divisor Sum 4,733,452
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4852621 ← → #4852643

Radix Representation

Decimal 4852628
Binary 10010100000101110010100 (23 bits)
Octal 0o22405624
Hexadecimal 0x4A0B94

Divisor Catalog (24)

1 2 4 11 22 29 44 58 116 319 638 1,276 3,803 7,606 15,212 41,833 83,666 110,287 167,332 220,574 441,148 1,213,157 2,426,314 4,852,628

Collatz Trajectory (237 steps to reach 1)

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

4,852,628 2,426,314 1,213,157 3,639,472 1,819,736 909,868 454,934 227,467 682,402 341,201 1,023,604 511,802 255,901 767,704 383,852 191,926 95,963 287,890 143,945 431,836 215,918 107,959 323,878 161,939 485,818 242,909 728,728 364,364 182,182 91,091 273,274 136,637 409,912 204,956 102,478 51,239 153,718 76,859 230,578 115,289 345,868 172,934 86,467 259,402 129,701 389,104 194,552 97,276 48,638 24,319 72,958 36,479 109,438 54,719 164,158 82,079 246,238 123,119 369,358 184,679

More profiles

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