λ
Sequence Observatory

9,421,785

33 × 5 × 101 × 691
Deficient Odd Composite

Starting at 9,421,785, the Collatz iteration reaches 1 after 163 steps. The first transition is 28265356; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 101 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,940,160
Proper Divisor Sum 7,518,375
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9421751 ← → #9421793

Radix Representation

Decimal 9421785
Binary 100011111100001111011001 (24 bits)
Octal 0o43741731
Hexadecimal 0x8FC3D9

Divisor Catalog (32)

1 3 5 9 15 27 45 101 135 303 505 691 909 1,515 2,073 2,727 3,455 4,545 6,219 10,365 13,635 18,657 31,095 69,791 93,285 209,373 348,955 628,119 1,046,865 1,884,357 3,140,595 9,421,785

Collatz Trajectory (163 steps to reach 1)

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

9,421,785 28,265,356 14,132,678 7,066,339 21,199,018 10,599,509 31,798,528 15,899,264 7,949,632 3,974,816 1,987,408 993,704 496,852 248,426 124,213 372,640 186,320 93,160 46,580 23,290 11,645 34,936 17,468 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47

More profiles

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