410,155

5 × 82031

Starting at 410,155, the Collatz iteration reaches 1 after 81 steps. The first transition is 1230466; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 82031

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 492,192

Proper Divisor Sum 82,037

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #410149 ← → #410171

Radix Representation

Decimal	410155
Binary	1100100001000101011 (19 bits)
Octal	0o1441053
Hexadecimal	0x6422B

Divisor Catalog (4)

1 5 82,031 410,155

Collatz Trajectory (81 steps to reach 1)

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

410,155 1,230,466 615,233 1,845,700 922,850 461,425 1,384,276 692,138 346,069 1,038,208 519,104 259,552 129,776 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74

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