λ
Sequence Observatory

4,455,451

7 × 11 × 13 × 4451
Deficient Odd Composite

Starting at 4,455,451, the Collatz iteration reaches 1 after 224 steps. The first transition is 13366354; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 4451
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,983,488
Proper Divisor Sum 1,528,037
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4455403 ← → #4455461

Radix Representation

Decimal 4455451
Binary 10000111111110000011011 (23 bits)
Octal 0o20776033
Hexadecimal 0x43FC1B

Divisor Catalog (16)

1 7 11 13 77 91 143 1,001 4,451 31,157 48,961 57,863 342,727 405,041 636,493 4,455,451

Collatz Trajectory (224 steps to reach 1)

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

4,455,451 13,366,354 6,683,177 20,049,532 10,024,766 5,012,383 15,037,150 7,518,575 22,555,726 11,277,863 33,833,590 16,916,795 50,750,386 25,375,193 76,125,580 38,062,790 19,031,395 57,094,186 28,547,093 85,641,280 42,820,640 21,410,320 10,705,160 5,352,580 2,676,290 1,338,145 4,014,436 2,007,218 1,003,609 3,010,828 1,505,414 752,707 2,258,122 1,129,061 3,387,184 1,693,592 846,796 423,398 211,699 635,098 317,549 952,648 476,324 238,162 119,081 357,244 178,622 89,311 267,934 133,967 401,902 200,951 602,854 301,427 904,282 452,141 1,356,424 678,212 339,106 169,553

More profiles

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