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Atlas › Integer Profiles › Node 4,690,929

4,690,929

3 × 17 × 19 × 47 × 103
Deficient Odd Composite

Starting at 4,690,929, the Collatz iteration reaches 1 after 206 steps. The first transition is 14072788; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 19 × 47 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,188,480
Proper Divisor Sum 2,497,551
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4690921 ← → #4690937

Radix Representation

Decimal 4690929
Binary 10001111001001111110001 (23 bits)
Octal 0o21711761
Hexadecimal 0x4793F1

Divisor Catalog (32)

1 3 17 19 47 51 57 103 141 309 323 799 893 969 1,751 1,957 2,397 2,679 4,841 5,253 5,871 14,523 15,181 33,269 45,543 82,297 91,979 99,807 246,891 275,937 1,563,643 4,690,929

Collatz Trajectory (206 steps to reach 1)

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

4,690,929 14,072,788 7,036,394 3,518,197 10,554,592 5,277,296 2,638,648 1,319,324 659,662 329,831 989,494 494,747 1,484,242 742,121 2,226,364 1,113,182 556,591 1,669,774 834,887 2,504,662 1,252,331 3,756,994 1,878,497 5,635,492 2,817,746 1,408,873 4,226,620 2,113,310 1,056,655 3,169,966 1,584,983 4,754,950 2,377,475 7,132,426 3,566,213 10,698,640 5,349,320 2,674,660 1,337,330 668,665 2,005,996 1,002,998 501,499 1,504,498 752,249 2,256,748 1,128,374 564,187 1,692,562 846,281 2,538,844 1,269,422 634,711 1,904,134 952,067 2,856,202 1,428,101 4,284,304 2,142,152 1,071,076

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