λ
Sequence Observatory

9,822,629

31 × 316859
Deficient Odd Composite

Starting at 9,822,629, the Collatz iteration reaches 1 after 194 steps. The first transition is 29467888; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 316859
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,139,520
Proper Divisor Sum 316,891
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9822613 ← → #9822641

Radix Representation

Decimal 9822629
Binary 100101011110000110100101 (24 bits)
Octal 0o45360645
Hexadecimal 0x95E1A5

Divisor Catalog (4)

1 31 316,859 9,822,629

Collatz Trajectory (194 steps to reach 1)

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

9,822,629 29,467,888 14,733,944 7,366,972 3,683,486 1,841,743 5,525,230 2,762,615 8,287,846 4,143,923 12,431,770 6,215,885 18,647,656 9,323,828 4,661,914 2,330,957 6,992,872 3,496,436 1,748,218 874,109 2,622,328 1,311,164 655,582 327,791 983,374 491,687 1,475,062 737,531 2,212,594 1,106,297 3,318,892 1,659,446 829,723 2,489,170 1,244,585 3,733,756 1,866,878 933,439 2,800,318 1,400,159 4,200,478 2,100,239 6,300,718 3,150,359 9,451,078 4,725,539 14,176,618 7,088,309 21,264,928 10,632,464 5,316,232 2,658,116 1,329,058 664,529 1,993,588 996,794 498,397 1,495,192 747,596 373,798

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