λ
Sequence Observatory

4,455,784

23 × 139 × 4007
Deficient Even Composite

Starting at 4,455,784, the Collatz iteration reaches 1 after 118 steps. The first transition is 2227892; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 139 × 4007
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,416,800
Proper Divisor Sum 3,961,016
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4455779 ← → #4455793

Radix Representation

Decimal 4455784
Binary 10000111111110101101000 (23 bits)
Octal 0o20776550
Hexadecimal 0x43FD68

Divisor Catalog (16)

1 2 4 8 139 278 556 1,112 4,007 8,014 16,028 32,056 556,973 1,113,946 2,227,892 4,455,784

Collatz Trajectory (118 steps to reach 1)

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

4,455,784 2,227,892 1,113,946 556,973 1,670,920 835,460 417,730 208,865 626,596 313,298 156,649 469,948 234,974 117,487 352,462 176,231 528,694 264,347 793,042 396,521 1,189,564 594,782 297,391 892,174 446,087 1,338,262 669,131 2,007,394 1,003,697 3,011,092 1,505,546 752,773 2,258,320 1,129,160 564,580 282,290 141,145 423,436 211,718 105,859 317,578 158,789 476,368 238,184 119,092 59,546 29,773 89,320 44,660 22,330 11,165 33,496 16,748 8,374 4,187 12,562 6,281 18,844 9,422 4,711

More profiles

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