λ
Sequence Observatory

9,576,513

32 × 19 × 56003
Deficient Odd Composite

Starting at 9,576,513, the Collatz iteration reaches 1 after 145 steps. The first transition is 28729540; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 56003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,561,040
Proper Divisor Sum 4,984,527
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9576503 ← → #9576521

Radix Representation

Decimal 9576513
Binary 100100100010000001000001 (24 bits)
Octal 0o44420101
Hexadecimal 0x922041

Divisor Catalog (12)

1 3 9 19 57 171 56,003 168,009 504,027 1,064,057 3,192,171 9,576,513

Collatz Trajectory (145 steps to reach 1)

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

9,576,513 28,729,540 14,364,770 7,182,385 21,547,156 10,773,578 5,386,789 16,160,368 8,080,184 4,040,092 2,020,046 1,010,023 3,030,070 1,515,035 4,545,106 2,272,553 6,817,660 3,408,830 1,704,415 5,113,246 2,556,623 7,669,870 3,834,935 11,504,806 5,752,403 17,257,210 8,628,605 25,885,816 12,942,908 6,471,454 3,235,727 9,707,182 4,853,591 14,560,774 7,280,387 21,841,162 10,920,581 32,761,744 16,380,872 8,190,436 4,095,218 2,047,609 6,142,828 3,071,414 1,535,707 4,607,122 2,303,561 6,910,684 3,455,342 1,727,671 5,183,014 2,591,507 7,774,522 3,887,261 11,661,784 5,830,892 2,915,446 1,457,723 4,373,170 2,186,585

More profiles

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