λ
Sequence Observatory

5,345,873

13 × 173 × 2377
Deficient Odd Composite

Starting at 5,345,873, the Collatz iteration reaches 1 after 144 steps. The first transition is 16037620; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 173 × 2377
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,792,808
Proper Divisor Sum 446,935
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5345861 ← → #5345881

Radix Representation

Decimal 5345873
Binary 10100011001001001010001 (23 bits)
Octal 0o24311121
Hexadecimal 0x519251

Divisor Catalog (8)

1 13 173 2,249 2,377 30,901 411,221 5,345,873

Collatz Trajectory (144 steps to reach 1)

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

5,345,873 16,037,620 8,018,810 4,009,405 12,028,216 6,014,108 3,007,054 1,503,527 4,510,582 2,255,291 6,765,874 3,382,937 10,148,812 5,074,406 2,537,203 7,611,610 3,805,805 11,417,416 5,708,708 2,854,354 1,427,177 4,281,532 2,140,766 1,070,383 3,211,150 1,605,575 4,816,726 2,408,363 7,225,090 3,612,545 10,837,636 5,418,818 2,709,409 8,128,228 4,064,114 2,032,057 6,096,172 3,048,086 1,524,043 4,572,130 2,286,065 6,858,196 3,429,098 1,714,549 5,143,648 2,571,824 1,285,912 642,956 321,478 160,739 482,218 241,109 723,328 361,664 180,832 90,416 45,208 22,604 11,302 5,651

More profiles

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