λ
Sequence Observatory

4,540,921

7 × 11 × 17 × 3469
Deficient Odd Composite

Starting at 4,540,921, the Collatz iteration reaches 1 after 180 steps. The first transition is 13622764; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 17 × 3469
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,996,160
Proper Divisor Sum 1,455,239
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4540919 ← → #4540927

Radix Representation

Decimal 4540921
Binary 10001010100100111111001 (23 bits)
Octal 0o21244771
Hexadecimal 0x4549F9

Divisor Catalog (16)

1 7 11 17 77 119 187 1,309 3,469 24,283 38,159 58,973 267,113 412,811 648,703 4,540,921

Collatz Trajectory (180 steps to reach 1)

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

4,540,921 13,622,764 6,811,382 3,405,691 10,217,074 5,108,537 15,325,612 7,662,806 3,831,403 11,494,210 5,747,105 17,241,316 8,620,658 4,310,329 12,930,988 6,465,494 3,232,747 9,698,242 4,849,121 14,547,364 7,273,682 3,636,841 10,910,524 5,455,262 2,727,631 8,182,894 4,091,447 12,274,342 6,137,171 18,411,514 9,205,757 27,617,272 13,808,636 6,904,318 3,452,159 10,356,478 5,178,239 15,534,718 7,767,359 23,302,078 11,651,039 34,953,118 17,476,559 52,429,678 26,214,839 78,644,518 39,322,259 117,966,778 58,983,389 176,950,168 88,475,084 44,237,542 22,118,771 66,356,314 33,178,157 99,534,472 49,767,236 24,883,618 12,441,809 37,325,428

More profiles

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