λ
Sequence Observatory

4,780,916

22 × 7 × 73 × 2339
Abundant Even Composite

Starting at 4,780,916, the Collatz iteration reaches 1 after 100 steps. The first transition is 2390458; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 73 × 2339
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,696,960
Proper Divisor Sum 4,916,044
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4780903 ← → #4780931

Radix Representation

Decimal 4780916
Binary 10010001111001101110100 (23 bits)
Octal 0o22171564
Hexadecimal 0x48F374

Divisor Catalog (24)

1 2 4 7 14 28 73 146 292 511 1,022 2,044 2,339 4,678 9,356 16,373 32,746 65,492 170,747 341,494 682,988 1,195,229 2,390,458 4,780,916

Collatz Trajectory (100 steps to reach 1)

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

4,780,916 2,390,458 1,195,229 3,585,688 1,792,844 896,422 448,211 1,344,634 672,317 2,016,952 1,008,476 504,238 252,119 756,358 378,179 1,134,538 567,269 1,701,808 850,904 425,452 212,726 106,363 319,090 159,545 478,636 239,318 119,659 358,978 179,489 538,468 269,234 134,617 403,852 201,926 100,963 302,890 151,445 454,336 227,168 113,584 56,792 28,396 14,198 7,099 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056

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