253,790

2 × 5 × 41 × 619

Starting at 253,790, the Collatz iteration reaches 1 after 106 steps. The first transition is 126895; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 468,720

Proper Divisor Sum 214,930

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #253789 ← → #253801

Radix Representation

Decimal	253790
Binary	111101111101011110 (18 bits)
Octal	0o757536
Hexadecimal	0x3DF5E

Divisor Catalog (16)

1 2 5 10 41 82 205 410 619 1,238 3,095 6,190 25,379 50,758 126,895 253,790

Collatz Trajectory (106 steps to reach 1)

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

253,790 126,895 380,686 190,343 571,030 285,515 856,546 428,273 1,284,820 642,410 321,205 963,616 481,808 240,904 120,452 60,226 30,113 90,340 45,170 22,585 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

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