λ
Sequence Observatory

2,450,167

23 × 307 × 347
Deficient Odd Composite

Starting at 2,450,167, the Collatz iteration reaches 1 after 192 steps. The first transition is 7350502; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 307 × 347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,572,416
Proper Divisor Sum 122,249
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2450143 ← → #2450171

Radix Representation

Decimal 2450167
Binary 1001010110001011110111 (22 bits)
Octal 0o11261367
Hexadecimal 0x2562F7

Divisor Catalog (8)

1 23 307 347 7,061 7,981 106,529 2,450,167

Collatz Trajectory (192 steps to reach 1)

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

2,450,167 7,350,502 3,675,251 11,025,754 5,512,877 16,538,632 8,269,316 4,134,658 2,067,329 6,201,988 3,100,994 1,550,497 4,651,492 2,325,746 1,162,873 3,488,620 1,744,310 872,155 2,616,466 1,308,233 3,924,700 1,962,350 981,175 2,943,526 1,471,763 4,415,290 2,207,645 6,622,936 3,311,468 1,655,734 827,867 2,483,602 1,241,801 3,725,404 1,862,702 931,351 2,794,054 1,397,027 4,191,082 2,095,541 6,286,624 3,143,312 1,571,656 785,828 392,914 196,457 589,372 294,686 147,343 442,030 221,015 663,046 331,523 994,570 497,285 1,491,856 745,928 372,964 186,482 93,241

More profiles

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