λ
Sequence Observatory

9,472,972

22 × 109 × 21727
Deficient Even Composite

Starting at 9,472,972, the Collatz iteration reaches 1 after 238 steps. The first transition is 4736486; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 109 × 21727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,730,560
Proper Divisor Sum 7,257,588
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9472951 ← → #9472979

Radix Representation

Decimal 9472972
Binary 100100001000101111001100 (24 bits)
Octal 0o44105714
Hexadecimal 0x908BCC

Divisor Catalog (12)

1 2 4 109 218 436 21,727 43,454 86,908 2,368,243 4,736,486 9,472,972

Collatz Trajectory (238 steps to reach 1)

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

9,472,972 4,736,486 2,368,243 7,104,730 3,552,365 10,657,096 5,328,548 2,664,274 1,332,137 3,996,412 1,998,206 999,103 2,997,310 1,498,655 4,495,966 2,247,983 6,743,950 3,371,975 10,115,926 5,057,963 15,173,890 7,586,945 22,760,836 11,380,418 5,690,209 17,070,628 8,535,314 4,267,657 12,802,972 6,401,486 3,200,743 9,602,230 4,801,115 14,403,346 7,201,673 21,605,020 10,802,510 5,401,255 16,203,766 8,101,883 24,305,650 12,152,825 36,458,476 18,229,238 9,114,619 27,343,858 13,671,929 41,015,788 20,507,894 10,253,947 30,761,842 15,380,921 46,142,764 23,071,382 11,535,691 34,607,074 17,303,537 51,910,612 25,955,306 12,977,653

More profiles

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