λ
Sequence Observatory

6,201,320

23 × 5 × 229 × 677
Abundant Even Composite

Starting at 6,201,320, the Collatz iteration reaches 1 after 108 steps. The first transition is 3100660; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 229 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,034,600
Proper Divisor Sum 7,833,280
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #6201301 ← → #6201323

Radix Representation

Decimal 6201320
Binary 10111101001111111101000 (23 bits)
Octal 0o27517750
Hexadecimal 0x5E9FE8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 229 458 677 916 1,145 1,354 1,832 2,290 2,708 3,385 4,580 5,416 6,770 9,160 13,540 27,080 155,033 310,066 620,132 775,165 1,240,264 1,550,330 3,100,660 6,201,320

Collatz Trajectory (108 steps to reach 1)

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

6,201,320 3,100,660 1,550,330 775,165 2,325,496 1,162,748 581,374 290,687 872,062 436,031 1,308,094 654,047 1,962,142 981,071 2,943,214 1,471,607 4,414,822 2,207,411 6,622,234 3,311,117 9,933,352 4,966,676 2,483,338 1,241,669 3,725,008 1,862,504 931,252 465,626 232,813 698,440 349,220 174,610 87,305 261,916 130,958 65,479 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746 82,873 248,620 124,310 62,155 186,466 93,233 279,700 139,850 69,925 209,776 104,888 52,444 26,222 13,111 39,334

More profiles

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